Averroes, Middle Commentary on Aristotle’s Poetics, trans. with intro. Charles E. Butterworth, xxi+161 pp.

This paper addresses the question, how does wisdom contribute to management in circumstances of extreme unpredictability? We first discuss three key factors that fundamentally affect the conduct of business—human, knowledge, and the environment—as well as their characteristics and interactions. We then argue that managing the interaction between these factors to effectively deal with the complexity and unpredictability of a rapidly changing business world requires the appropriate application of wisdom, in particular ethics in the form of practical, moral, and epistemic virtues. (...) We propose that these three virtues are the link between the three factors and more effective decision-making and action taking in an unpredictable business world. A model is developed that conceptualizes the interconnection among the three factors and three virtues. This model has important academic and practical implications. For practice, the model points the way for both individuals and organizations to improve decision-making skills through the systematic expansion of perspectives gained through consideration of the three virtues. For academics, the model is an incremental, but important step in understanding the role of wisdom in management. (shrink)

Social media advertisement is a growing phenomenon designed to reach and engage customers. However, despite their continued adoption, less remains known regarding the effectiveness of social media ads to co-create brand value. In response to this gap, this study aims to deepen the theoretical understanding of consumer value co-creation through social media advertising value. The data were collected using purposive sampling from 286 experienced social-media users, and the model was tested using partial least square -based structural equation modeling. The results (...) indicate that entertainment, aesthetic appeal, interactivity, and trendiness significantly affect the adverting value of social media ads. In turn, ad value affects consumers’ intention for value co-creation. Consequently, our findings suggest the importance of social media advertising value where marketers may enhance consumer-brand engagement by incorporating interesting content, which may encourage the customer’s interaction with the social media ads and strengthen value co-creation behavior. The results further contribute to nascent marketing literature by demonstrating that value co-creation acts as an antecedent to generating positive electronic word-of-mouth on social media platforms to drive consumers’ online brand purchase intention. (shrink)

Davidson has attempted to offer his own solution to the problem of self-knowledge, but there has been no consensus between his commentators on what this solution is. Many have claimed that Davidson’s account stems from his remarks on disquotational specifications of self-ascriptions of meaning and mental content, the account which I will call the “Disquotational Explanation”. It has also been claimed that Davidson’s account rather rests on his version of content externalism, which I will call the “Externalist Explanation”. I will (...) argue that not only are these explanations of self-knowledge implausible, but Davidson himself has already rejected them. Thus, neither can be attributed to Davidson as his suggested account of self-knowledge. I will then introduce and support what I take to be Davidson’s official and independent account of self-knowledge, that is, his “Transcendental Explanation”. I will defend this view against certain potential objections and finally against the objections made by William Child. (shrink)

Russell once said that “Vagueness and precision alike are characteristics which can only belong to a representation, of which language is an example. They have to do with the relation between a representation and that which it represents. Apart from representation, whether cognitive or mechanical, there can be no such thing as vagueness or precision; things are what they are, and there is an end of it” (1923). In other words, expressions like ontological vagueness (and even ontological precision) are category (...) mistakes and therefore make no sense. Half a century later, as the view began to emerge that some vagueness could be intelligibly ascribed to the world, Dummett opined that “It is not apparently absurd to suppose ... that the physical world is in itself such that the most precise description of it that even omniscience would yield might yet involve the use of expressions having some degree of vagueness” (1981). Evans had already questioned the idea of worldly vagueness, arguing that it was inconsistent (1978). A quarter of a century later, however, many papers had been written in defense of the intelligibility and possibility of this once nonsense and then contradictory claim. This chapter is one of them, albeit from a different viewpoint. The aim of this chapter is twofold: firstly, to consider the intelligibility of vague ontology, and secondly, to discuss the most famous argument against vague ontology, i.e., Evans’ argument. To this end, in Sect. 11.2 we present some commonsensical considerations on vague ontology. In Sect. 11.3, we look at some supervaluationist theories and the kind of vague ontology they accommodate before arguing that this kind of ontology is inconsistent with commonsense. Section 11.4 outlines a version of supervaluationism that can accommodate the commonsensical considerations discussed in Sect. 11.2. The outlined view is an ontological variation of Kit Fine’s characterization of vagueness as incompleteness (1975). It will be argued that the view is more effective than other versions of supervaluationism at accommodating commonsensical and metaphysical considerations. In the following section, we consider vague identity. Based on the view outlined in Sect. 11.4, there may be vague identity in some special cases. In Sect. 11.6 we focus on Evans’ argument and argue that it can be blocked in the first step. (shrink)

Background: Experiencing moral distress is traumatic for nurses. Ignoring moral distress can lead to job dissatisfaction, improper handling in the care of patients, or even leaving the job. Thus, it is crucial to use valid and reliable instruments to measure moral distress. Objective: The purpose of this study was to determine the reliability and the validity of the Persian version of the Moral Distress Scale–Revised among a sample of Iranian nurses. Research design: In this methodological study, 310 nurses were recruited (...) from all hospitals affiliated with the Qazvin University of Medical Sciences from February 2014 to April 2015. Data were collected using a demographic questionnaire and the Moral Distress Scale–Revised. The construct validity of the Moral Distress Scale–Revised was evaluated using principal component analysis and confirmatory factor analysis. Internal consistency reliability was assessed with Cronbach’s alpha. Ethical considerations: This study was approved by the Regional Committee of Medical Research Ethics. The ethical principles of voluntary participation, anonymity, and confidentiality were considered. Findings: The construct validity of the scale showed four factors with eigenvalues greater than one. The model had a good fit ( χ2(162) = 307.561, χ2/ df = 1.899, goodness-of-fit index =.904, comparative fit index =.927, incremental fit index =.929, and root mean square error of approximation (90% confidence interval) =.049 (.040–.057)) with all factor loadings greater than.5 and statistically significant. Cronbach’s alpha coefficients were.853,.686,.685, and.711for the four factors. Moreover, the model structure was invariant across different income groups. Discussion and conclusion: The Persian version of the Moral Distress Scale–Revised demonstrated suitable validity and reliability among nurses. The factor analysis also revealed that the Moral Distress Scale–Revised has a multidimensional structure. Regarding the proper psychometric characteristics, the validated scale can be used to further research about moral distress in this population. (shrink)

Davidson’s later philosophy of language has been inspired by Wittgenstein’s Investigations, but Davidson by no means sympathizes with the sceptical problem and solution Kripke attributes to Wittgenstein. Davidson criticizes the sceptical argument for relying on the rule-following conception of meaning, which is, for him, a highly problematic view. He also casts doubt on the plausibility of the sceptical solution as unjustifiably bringing in shared practices of a speech community. According to Davidson, it is rather success in mutual interpretation that explains (...) success in the practice of meaning something by an utterance. I will argue that Davidson’s objections to the sceptical problem and solution are misplaced as they rely on a misconstrual of Kripke’s Wittgenstein’s view. I will also argue that Davidson’s alternative solution to the sceptical problem is implausible, since it fails to block the route to the sceptical problem. I will then offer a problematic trilemma for Davidson. (shrink)

According to Wright’s Judgement-Dependent account of intention, facts about a subject’s intentions can be taken to be constituted by facts about the subject’s best opinions about them formed under certain optimal conditions. This paper aims to defend this account against three main objections which have been made to it by Boghossian, Miller and implicitly by Wright himself. It will be argued that Miller’s objection is implausible because it fails to take into account the partial-determination claim in this account. Boghossian’s objection (...) also fails because it is based on an unjustified reductionist reading of Wright’s account. However, Wright’s own attempt to resist Boghossian’s objection seems to display a shift from his Judgement-Dependent account to an Interpretationist account of self-knowledge, in which case Wright’s new account would face the same problem which he himself has previously put forward in the case of Davidson’s Interpretationist account of self-knowledge. Nonetheless, I will argue that Wright does not need to make such a move because Boghossian’s objection is not applicable to his account. (shrink)

"Certainty" occupies an important place in Wittgenstein’s epistemology: it does not belong to the category of knowledge but constitutes its foundation. In his view, knowledge boils down to language games, and language games are based on indubitable certainties. According to Wittgenstein, scepticism is meaningless, and if there is no certainty, then even doubt would be meaningless. Wittgesntein maintains that [relative] doubt and knowledge are epistemic categories, whereas absolute doubt and certainty are non-epistemic categories. Epistemic categories are meaningful and when expressed (...) by means of statements could be either true or false. In contrast, non-epistemic categories are meaningless and when expressed by means of statements the properties of truth and falsehood do not apply to them. The aim of the present paper is two fold: 1- Providing an explanation of the status of certainty in comparison to categories such as doubt and knowledge in Wittgenstein’s thought; 2- Providing a critical assessment of Wittgenstein's approach to certainty through the prism of critical rationalism. The main arguments of the paper are as follows: 1. Although Wittgenstein considers certainty to be meaningless and therefore not on a par with epistemological categories, he regards it as an objective concept that functions as the foundation upon which all human knowledge is based; 2. Wittgenstein's efforts to show the objectivity of certainty have not been entirely successful, partly due to his reliance on a defective notion of ‘objectivity’ and partly as a result of the prominence he assigns to the category of ‘meaning’ at the expense of the category of ‘truth’. (shrink)

Business Ethics, the Environment & Responsibility, Volume 31, Issue 2, Page 453-473, April 2022.

Saul Kripke, in his celebrated book Wittgenstein on Rules and Private Language (1982), offers a novel reading of Ludwig Wittgenstein’s main remarks in his later works, especially in Philosophical Investigations (1953) and, to some extent, in Remarks on the Foundations of Mathematics (1956). Kripke presents Wittgenstein as proposing a skeptical argument against a certain conception of meaning and linguistic understanding, as well as a skeptical solution to such a problem. Many philosophers have called this interpretation of Wittgenstein Kripke’s Wittgenstein or (...) Kripkenstein because, as Kripke himself emphasizes, it is “Wittgenstein’s argument as it struck Kripke, as it presented a problem for him” (Kripke 1982, 5) and “probably many of my formulations and re-castings of the argument are done in a way Wittgenstein would not himself approve” (Kripke 1982, 5). Such an interpretation has been the subject of tremendous discussions since its publication, and this has formed a huge literature on the topic of meaning skepticism in general and Wittgenstein’s later view in particular. -/- According to the skeptical argument that Kripke extracts from Wittgenstein’s later remarks on meaning and rule-following, there is no fact about a speaker’s behavioral, mental or social life that can metaphysically determine, or constitute, what she means by her words and also fix a determinate connection between those meanings and the correctness of her use of these words. Such a skeptical conclusion has a disastrous consequence for the classical realist view of meaning: if we insist on the idea that meaning is essentially a factual matter, we face the bizarre conclusion that there is thereby “no such thing as meaning anything by any word” (Kripke 1982, 55). -/- According to the skeptical solution that Kripke attributes to Wittgenstein, such a radical conclusion is intolerable because we certainly do very often mean certain things by our words. The skeptical solution begins by rejecting the view that results in such a paradoxical conclusion, that is, the classical realist conception of meaning. The skeptical solution offers then a new picture of the practice of meaning-attribution, according to which we can legitimately assert that a speaker means something specific by her words if we, as members of a speech-community, can observe, in enough cases, that her use agrees with ours. We can judge, for instance, that she means by “green” what we mean by this word, namely, green, if we observe that her use of “green” agrees with our way of using it. Attributing meanings to others’ words, therefore, brings in the notion of a speech-community, whose members are uniform in their responses. As a result, there can be no private language. -/- This article begins by introducing Kripke’s Wittgenstein’s skeptical problem presented in Chapter 2 of Kripke’s book. It then explicates Kripke’s Wittgenstein’s skeptical solution to the skeptical problem, which is offered in Chapter 3 of the book. The article ends by reviewing some of the most important responses to the skeptical problem and the skeptical solution. (shrink)

The China-Pakistan Economic Corridor vision and mission are to improve the people's living standards of Pakistan and China through bilateral investments, trade, cultural exchanges, and economic activities. To achieve this envisioned dream, Pakistan established the China-Pakistan Economic Corridor Authority to further its completion, but Covid-19 slowed it down. This situation compelled the digitalization of CPEC. This article reviews the best practices and success stories of various digitalization and e-governance programs and, in this light, advises the implementation of the Ajman Digital (...) Governance model as a theoretical framework for CPEC digitalization. This article concludes that the Pakistani government needs to transform CPEC digitalization by setting up the CPEC Digitalization and Transformation Center at the CPECA office to attract more investors and businesses. (shrink)

According to many philosophers, the notion of belief is constitutively normative ; Shah ; Shah and Velleman (); Gibbard (); Wedgwood ). In a series of widely discussed papers, Terence Horgan and Mark Timmons have developed an ingenious ‘Moral Twin Earth’ argument against ‘Cornell Realist’ metaethical views which hold that moral terms have synthetic natural definitions in the manner of natural kind terms. In this paper we shall suggest that an adaptation of the Moral Twin Earth argument to the doxastic (...) case – Doxastic Twin Earth – provides new evidence for the normativity of belief. (shrink)

1. Academics as a profession is traditionally viewed as stress-free due to high levels of academic freedom, clarity of job description and performance indicators, and tenure protected positions (Th...

Cardiac disease is the leading cause of death worldwide. Cardiovascular diseases can be prevented if an effective diagnostic is made at the initial stages. The ECG test is referred to as the diagnostic assistant tool for screening of cardiac disorder. The research purposes of a cardiac disorder detection system from 12-lead-based ECG Images. The healthcare institutes used various ECG equipment that present results in nonuniform formats of ECG images. The research study proposes a generalized methodology to process all formats of (...) ECG. Single Shoot Detection MobileNet v2-based Deep Neural Network architecture was used to detect cardiovascular disease detection. The study focused on detecting the four major cardiac abnormalities with 98% accuracy results were calculated. The work is relatively rare based on their dataset; a collection of 11,148 standard 12-lead-based ECG images used in this study were manually collected from health care institutes and annotated by the domain experts. The study achieved high accuracy results to differentiate and detect four major cardiac abnormalities. Several cardiologists manually verified the proposed system’s accuracy result and recommended that the proposed system can be used to screen for a cardiac disorder. (shrink)

To achieve accreditation standards and train residents for clinical practice, ACGME placed a lot of emphasis on ethical competence and professionalism. A crucial requirement for enhancing the standard of future medical practice is ethics education. This study sought to identify the requirement for ethics knowledge in clinical training from the perspective of the residents and determine the most effective methods for education. A cross-sectional descriptive study was conducted between March and May 2023. Participants included Lebanese postgraduate medical students, 210 completed (...) a Google Forms survey via WhatsApp. A validated questionnaire adapted from a previous study was used, focusing on demographics, ethical experience, attitudes, educational goals, and training effectiveness. Analyses were performed on IBM SPSS Statistics software (version 26.0) and R software. 210 residents representing a range of specialties participated in the survey. predominantly in internal medicine (54.8%). Residents strongly affirmed the importance of professionalism and ethics education. Participants overwhelmingly agreed that it should improve patient care and clinical decision-making (_p_. (shrink)

This study contextualizes business leaders’ perspectives on business-society interaction through the theoretical lens of wisdom. Morally effective interaction between business and society relies on shared perceptions of expected values grounded in leaders’ virtuous behavior. Through empirical fieldwork across industries in a developing society, the article documents how local business leaders perceive wise leadership in dealing with socially complex problems. Using grounded theory, we inductively developed a model of wisdom, executive wisdom, that identifies 14 characteristics of wisdom, located in three groups: (...) technē, wise decisions, and virtuous disposition. The findings broaden the view of the complex nature of wise decision-making in the business-society context. (shrink)

Overtreatment is when medical or dental services are provided with a higher volume or cost than is appropriate. This study aimed to investigate how a group of dentists in Switzerland, a wealthy country known to have high standards of healthcare including dentistry, evaluated the meaning of unnecessary treatments from an ethical perspective and, assessed the expected frequency of different possible behaviors among their peers.

The purpose of this study is to investigate the antecedents of guests’ behavioral intentions in Malaysia’s peer-to-peer accommodation industry. This study focused on the effects of physical and social environment on guest emotions, satisfaction, and subsequently on guest’s behavioral intentions towards P2P accommodation. The proposed research framework was developed based on Stimulus-Organism-Response model. Partial Least Square Structural Equation Modeling was used to examine the proposed hypotheses. Data were collected from 476 foreign visitors who stayed at P2P accommodations in Malaysia using (...) online survey. The findings demonstrated that the P2P accommodation’s social and physical environment had a positive impact on guest satisfaction and emotions, while both satisfaction and emotions had significant impact on guest behavioral intentions. The findings also extend the applicability of the S-O-R theory in P2P accommodation context. In practice, both the physical and social environments are important stimuli cues to induce favorable level of organism factors, i.e., satisfaction and emotions. While behavioral intentions acted as the response factor in examining visitor’ responses towards P2P accommodation. All in all, this study emphasizes how crucial it is to emphasize on the external and internal factors when encouraging positive response in P2P accommodation platforms. (shrink)

Globally, one of every eight nurses is a migrant, but few studies have focused on the healthcare experiences of migrant nurses (MNs) as consumers or recipients of healthcare. We address this gap by examining MNs and their acculturation, barriers to healthcare access, and perceptions of healthcare encounters as consumers. For this mixed‐methods study, a convenience sample of MNs working in Europe and Israel was recruited. The quantitative component's methods included testing the reliability of scales contained within the questionnaire and using (...) Hayes Process Model #4 to test for mediation. The qualitative component's methods included analyzing interviews with iterative inductive thematic analysis. Quantitative findings on MNs (n = 73) indicated that the association between acculturation and perception of the healthcare encounter, which MNs experienced as healthcare consumers, was mediated by barriers to healthcare access, even after adjusting for age and gender (p = 0.03). Qualitative interviews with MNs (n = 13) provided possible explanations for the quantitative findings. Even after working in the host country's healthcare system for several years, MNs reported difficulties with their healthcare encounters as healthcare consumers, not only due to their limited knowledge about the culture and healthcare resources but also due to the biased responses they received. (shrink)

During the COVID-19 epidemic, personal safety has received increasing attention, leading to behavioral changes. Mobile-wallet makes it easier for people to keep social distance, which helps stop the spread of the COVID-19 virus. Evolving Internet technology has brought about changes in consumer lifestyle. The current situation of COVID-19 has created a business environment to shift from traditional ways and adopt e-commerce solutions worldwide. Grounded in technology acceptance model theory, this study’s objective is two-fold: First, this study intends to examine perceived (...) susceptibility to COVID-19, perceived severity of COVID-19, insecurity and discomfort as the predictors of perceived usefulness and perceived ease of use. Second, the current research intends to test the moderating effect of electronic words-of-mouth on the relationship between attitude and usage intention. Using survey methods, 226 usable responses were collected through a mall intercept survey in Pakistan. Data were analyzed using partial least square. The results revealed that PEOU and PU positively influence attitude toward M-wallet. This study has found that attitude positively influences the usage intention in adopting M-wallet. The results also support the moderating role of eWOM. These findings contribute to the marketing literature in several ways, particularly in Pakistan. This is the first study to use eWOM as a moderating variable in the TAM theory. In addition, this study adds to the current body of knowledge by considering eWOM as a multi-dimensional construct novel in m-wallet literature. (shrink)

Government is a rational necessity for mankind because a society without government leads to chaos. Government regulates the affairs of the individual and the community, implements the limits, and ensures the dignity and independence of the human society. Thinking in the main goals of the divine prophets, it is clear that achieving great goals such as liberating people from the domination and captivity of foreigners, comprehensive human education, reviving human values, establishing justice, bringing people to excellence and growth, etc., requires (...) formation. In this context, transparency is a key attribute, which can bring much power to the expected level as an effective mechanism for protecting citizens’ political, economic, social and cultural rights. This concept is thus a valuable solution in the fight against sinister phenomena, such as political and economic corruptions, which are ranked as the biggest challenges facing any society. Even though transparency is nowadays deemed an emerging concept, its roots can be traced back to Islamic teachings, mainly during the short reign of Imam Ali, (peace be upon him [PBUH]). As a central figure, Imam Ali considered transparency as essential, and shared his views on governance and practical methods with the people and all audiences based on complete honesty and openness. As per Alavi thoughts, some criteria and indicators, both structural and behavioural, are involved in order to ensure the public good and meet the interests of all by providing the prerequisites for the realisation of transparency, at odds with the predominant ideas that transparency in governance, like many concepts in the political and governance-related spheres, has a western origin. Contribution: The concept of transparency, with a proven history in global experiences, accordingly holds a special place in the literature of Islamic governments. Given the importance of this topic, the present study with an emphasis on transparency aims to examine Islamic teachings on governance in Islamic societies, and reflect on governance transparency components in such societies, relying on expert opinions. (shrink)

واکاوی ضدواقع‌گرایی و رهیافت تحقیق‌گرایانة مایکل دامت .

The current study sought to examine emotional manipulation and its connection to symptoms of narcissistic personality disorder among couples, and whether there are statistically, significant differences based on the variables such as gender, age, duration of marriage, and educational level. The study involved a sample of 924 married couples, selected through the descriptive correlational approach. The findings revealed a moderate level of emotional manipulation and symptoms of narcissistic personality disorder among couples. They also showed statistically significant differences in emotional manipulation (...) and narcissistic personality disorder symptoms based on gender, favoring males; duration of marriage, favoring those married for less than (10) years; and educational level favoring those with secondary or less. No statistically significant differences were found based on age. Moreover, a positive and statistically significant relationship was identified between emotional manipulation and symptoms of narcissistic personality disorder in couples. Based on these findings, the researchers recommend organizing lectures and seminars to educate couples about the negative effects of emotional manipulation and various types of symptoms of narcissistic personality disorder appearing in the marital relationship. (shrink)

Islamic ethics in the light of Qurʼanic teaching and Hadith; Customs and practices.

Source: Author: Mohammad Sabahi Bidgoli, Ali Kebriaei, Sayed Gholamabas Moosavi Background and Aim: Patients' viewpoints are commonly used to assess quality of care in diverse healthcare organizations. This permits managerial decisions to be made based on knowledge rather than conjecture. The purpose of the current study is to investigate quality gap of family health care through measuring differences between clients’ perceptions and expectations at Kashan city health centers in Iran.Methodology: A cross-sectional design was applied in 2013. The study sample was (...) composed of 384 women clients of family health services randomly selected from Kashan city health centers. The SERVQUAL questionnaire was used for data collection. Service quality gap was measured by computing the difference between the rating respondents assign to expectations and perceptions statements. For pair wise comparison of the expectations and perceptions the Wilcoxon Signed Rank test was used. Internal consistency of the scale was confirmed with Cronbach's Alpha coefficients.Findings: In all dimensions of the services a significant (P ]]>. (shrink)

بررسی اصلی‌ترین چالش‌های میان دامت و مک داول در باب نظریة معنا و توصیف مناسب رفتار زبانی .

The falling shadow theory is applied to subhoops and filters in hoops. The notions of falling fuzzy subhoops and falling fuzzy filters in hoops are introduced, and several properties are investigated. Relationship between falling fuzzy subhoops and falling fuzzy filters are discussed, and conditions for a falling fuzzy subhoop to be a falling fuzzy filter are provided. Also conditions for a falling shadow of a random set to be a falling fuzzy filter are displayed.

The Schur-Zassenhaus Theorem is one of the fundamental theorems of finite group theory. Here is its statement:Fact1.1 (Schur-Zassenhaus Theorem). Let G be a finite group and let N be a normal subgroup of G. Assume that the order ∣N∣ is relatively prime to the index [G:N]. Then N has a complement in G and any two complements of N are conjugate in G.The proof can be found in most standard books in group theory, e.g., in [S, Chapter 2, Theorem 8.10]. (...) The original statement stipulated one ofNorG/Nto be solvable. Since then, the Feit-Thompson theorem [FT] has been proved and it forces eitherNorG/Nto be solvable. (The analogous Feit-Thompson theorem for groups of finite Morley rank is a long standing open problem).The literal translation of the Schur-Zassenhaus theorem to the finite Morley rank context would state that in a groupGof finite Morley rank a normal π-Hall subgroup (if it exists at all) has a complement and all the complements are conjugate to each other. (Recall that a groupHis called aπ-group, where π is a set of prime numbers, if elements ofHhave finite orders whose prime divisors are from π. Maximal π-subgroups of a groupGare called π-Hall subgroups. They exist by Zorn's lemma. Since a normal π-subgroup ofGis in all the π-Hall subgroups, if a group has a normal π-Hall subgroup then this subgroup is unique.)The second assertion of the Schur-Zassenhaus theorem about the conjugacy of complements is false in general. As a counterexample, consider the multiplicative group ℂ* of the complex number field ℂ and consider thep-Sylow for any primep, or even the torsion part of ℂ*. LetHbe this subgroup.Hhas a complement, but this complement is found by Zorn's Lemma (consider a maximal subgroup that intersectsHtrivially) and the use of Zorn's Lemma is essential. In fact, by Zorn's Lemma, any subgroup that has a trivial intersection withHcan be extended to a complement ofH. Since ℂ* is abelian, these complements cannot be conjugated to each other. (shrink)

The notions of soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions for a soju filter to be implicative are displayed, and characterizations of an implicative soju filters are considered. The extension property of an implicative soju filter is established.