Absorption and directed Jónsson terms

DOI10.1007/978-3-319-74772-9_7zbMath1459.08005arXiv1502.01072OpenAlexW2298489343MaRDI QIDQ4586417

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Publication date: 13 September 2018

Published in: Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01072

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Congruence modularity, congruence distributivity (08B10)

Related Items (12)

The Jónsson distributivity spectrum ⋮ Quasiorder lattices of varieties ⋮ Satisfiability in MultiValued Circuits ⋮ THE DISTRIBUTIVITY SPECTRUM OF BAKER’S VARIETY ⋮ Unnamed Item ⋮ The Gumm level equals the Alvin level in congruence distributive varieties ⋮ DECIDING SOME MALTSEV CONDITIONS IN FINITE IDEMPOTENT ALGEBRAS ⋮ General algebra and its applications 2013: problem session. ⋮ Relation identities in 3-distributive varieties ⋮ Mitschke's theorem is sharp ⋮ MALTSEV CONDITIONS FOR GENERAL CONGRUENCE MEET-SEMIDISTRIBUTIVE ALGEBRAS ⋮ Between an n-ary and an n + 1-ary near-unanimity term

Cites Work

• Congruence modularity is permutability composed with distributivity
• \(n\)-permutable varieties satisfy non trivial congruence identities
• On \(n\)-permutable congruences
• Absorbing Subalgebras, Cyclic Terms, and the Constraint Satisfaction Problem
• Finitely Related Algebras In Congruence Distributive Varieties Have Near Unanimity Terms
• Algebras Whose Congruence Lattices are Distributive.
• Distributivity and Permutability of Congruence Relations in Equational Classes of Algebras

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