On the Category of EQ-algebras

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Bulletin of the Section of Logic 50 (4):397-419 (2021)
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Abstract

In this paper, we studied the category of EQ-algebras and showed that it is complete, but it is not cocomplete, in general. We proved that multiplicatively relative EQ-algebras have coequlizers and we calculated coproduct and pushout in a special case. Also, we constructed a free EQ-algebra on a singleton.

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10.18778/0138-0680.2021.01

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Citations of this work

nn-Fold Filters of EQ-Algebras.Batoul Ganji Saffar, Rajab Ali Borzooei & Mona Aly Kologani - 2022 - Bulletin of the Section of Logic 51 (4):455-486.

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References found in this work

The Algebra of Topology.J. C. C. Mckinsey & Alfred Tarski - 1944 - Annals of Mathematics, Second Series 45:141-191.
Compact representations of BL-algebras.Antonio Di Nola & Laurentiu Leustean - 2003 - Archive for Mathematical Logic 42 (8):737-761.
Eq-algebra-based Fuzzy Type Theory And Its Extensions.Vilém Novák - 2011 - Logic Journal of the IGPL 19 (3):512-542.

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