n-Permutability is not join-prime for n ≥ 5

DOI10.1142/S0218196720500605zbMath1484.08012OpenAlexW3080735504MaRDI QIDQ5135748

Gergő Gyenizse, Miklós Maróti, László Zádori

Publication date: 23 November 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196720500605

zbMATH Keywords

equational logicpartially ordered sets\(n\)-permutabilitymajority operationlattice of interpretability types

Mathematics Subject Classification ID

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

Related Items (1)

On the use of majority for investigating primeness of 3-permutability

Cites Work

• Reflexive digraphs with near unanimity polymorphisms
• Principal congruences in N-permutable varieties
• Finite equational bases for finite algebras in a congruence-distributive equational class
• Quasiorder lattices of varieties
• Cube term blockers without finiteness
• Taylor's modularity conjecture and related problems for idempotent varieties
• On \(n\)-permutable congruences
• Closed systems of functions and predicates
• The lattice of interpretability types of varieties
• The structure of finite algebras
• Posets, near unanimity functions and zigzags
• The shape of congruence lattices
• Idempotent n -permutable varieties
• Algebras Whose Congruence Lattices are Distributive.

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