Principal congruences on some lattice-ordered algebras

DOI10.1016/0012-365X(90)90068-SzbMath0702.06011MaRDI QIDQ914716

Jules Varlet, T. S. Blyth

Publication date: 1990

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Heyting algebrasde Morgan algebradistributive latticechain conditionprincipal congruencesjoin-irreducible elementsStone algebra

Mathematics Subject Classification ID

Heyting algebras (lattice-theoretic aspects) (06D20) Structure and representation theory of distributive lattices (06D05) Lattice ideals, congruence relations (06B10) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30) Ordered rings, algebras, modules (06F25)

Related Items (5)

Unnamed Item ⋮ Congruence properties of pseudocomplemented De Morgan algebras ⋮ Somep-algebras and doublep-algebras having only principal congruences ⋮ Principal congruences on distributive double p-algebras ⋮ Principal Congruences on S₁-Algebras

Cites Work

• Principal congruences in de Morgan algebras
• THE CONSTRUCTION OF SPACES DUAL TO PSEUDOCOMPLEMENTED DISTRIBUTIVE LATTICES
• Congruence Relations in Direct Products
• Principal Congruences of Pseudocomplemented Distributive Lattices
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