Semi-demorgan algebras

Studia Logica 56 (1-2):151 - 183 (1996)
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Abstract

Semi-DeMorgan algebras are a common generalization of DeMorgan algebras and pseudocomplemented distributive lattices. A duality for them is developed that builds on the Priestley duality for distributive lattices. This duality is then used in several applications. The subdirectly irreducible semi-DeMorgan algebras are characterized. A theory of partial diagrams is developed, where properties of algebras are tied to the omission of certain partial diagrams from their duals. This theory is then used to find and give axioms for the largest variety of semi-DeMorgan algebras with the congruence extension property.

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References found in this work

Semi-de Morgan algebras.Hanamantagouda P. Sankappanavar - 1987 - Journal of Symbolic Logic 52 (3):712-724.
Distributive lattices with a dual endomorphism.H. P. Sankappanavar - 1985 - Mathematical Logic Quarterly 31 (25‐28):385-392.
Distributive Lattices with a Dual Endomorphism.H. P. Sankappanavar - 1985 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 31 (25-28):385-392.
Varieties of Demi‐Pseudocomplemented Lattices.Hanamantagouda P. Sankappanavar - 1991 - Mathematical Logic Quarterly 37 (26-30):411-420.
On the Representation of Quasi-Boolean Algebras.A. Bialynicki-Birula & H. Rasiowa - 1957 - Journal of Symbolic Logic 22 (4):370-370.

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