Distributive lattices with a dual homomorphic operation

Studia Logica 38 (2):201 - 209 (1979)
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Abstract

The lattices of the title generalize the concept of a De Morgan lattice. A representation in terms of ordered topological spaces is described. This topological duality is applied to describe homomorphisms, congruences, and subdirectly irreducible and free lattices in the category. In addition, certain equational subclasses are described in detail.

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10.1007/bf00370442

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Alasdair Urquhart
University of Toronto, St. George Campus

Citations of this work

Routley Star and Hyperintensionality.Sergei Odintsov & Heinrich Wansing - 2020 - Journal of Philosophical Logic 50 (1):33-56.

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References found in this work

The Development of Logic.William Calvert Kneale & Martha Kneale - 1962 - Oxford, England: Clarendon Press. Edited by Martha Kneale.
An algebraic approach to non-classical logics.Helena Rasiowa - 1974 - Warszawa,: PWN - Polish Scientific Publishers.
Lectures on Boolean Algebras.Paul R. Halmos - 1966 - Journal of Symbolic Logic 31 (2):253-254.

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