Distributive lattices with a dual homomorphic operation

Studia Logica 38 (2):201 - 209 (1979)
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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DOI 10.1007/BF00370442
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References found in this work BETA
The Development of Logic.W. C. Kneale - 1962 - Oxford University Press.
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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Citations of this work BETA
Duality for Algebras of Relevant Logics.Alasdair Urquhart - 1996 - Studia Logica 56 (1-2):263 - 276.
Distributive Lattices with a Dual Endomorphism.H. P. Sankappanavar - 1985 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 31 (25-28):385-392.
Distributive Lattices with a Dual Endomorphism.H. P. Sankappanavar - 1985 - Mathematical Logic Quarterly 31 (25‐28):385-392.

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