Algebras with Boolean and Stonean congruence lattices

DOI10.1007/BF01951357zbMath0618.08001MaRDI QIDQ1089019

Tibor Katrińák, Sanaa El-Assar

Publication date: 1986

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Boolean algebrafinitary algebraStone latticelattice of congruence relationsatomic completely Stonean latticecomplemented, distributive elementsdistributive pseudocomplemented latticestrong center

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Complemented lattices, orthocomplemented lattices and posets (06C15) Lattice ideals, congruence relations (06B10) Subalgebras, congruence relations (08A30)

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Unnamed Item ⋮ Universal algebras ⋮ Lattices with Complemented Tolerance Lattice ⋮ The Direct Decomposition of l-algebras into Products of Subdirectly Irreducible Factors ⋮ A note on congruence distributive algebras

Cites Work

• Regular double p-algebras with Stone congruence lattices
• Lattices whose congruences form a Boolean algebra
• The determination congruence on double p-algebras
• Complemented congruences on complemented lattices
• The structure of distributive double p-algebras. Regularity and congruences
• Congruence relations of pseudocomplemented distributive lattices
• Pseudo-complements in semi-lattices
• Ideals and congruence relations in lattices
• On a paper by Iqbalunnisa
• Implicative Semi-Lattices
• Congruence Relations in Direct Products
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