Distributivity and modularity of lattices of tolerance relations

DOI10.1007/BF02483883zbMath0469.08003MaRDI QIDQ1156822

Ivan Chajda

Publication date: 1981

Published in: Algebra Universalis (Search for Journal in Brave)

zbMATH Keywords

polynomialsdistributivitymodularityessentially unary algebraslattice of tolerances

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Subalgebras, congruence relations (08A30) Operations and polynomials in algebraic structures, primal algebras (08A40) Congruence modularity, congruence distributivity (08B10) Unary algebras (08A60)

Related Items (13)

Unnamed Item ⋮ Varieties of commutative residuated integral pomonoids and their residuation subreducts ⋮ Unnamed Item ⋮ A characterization of tolerance-distributive tree semilattices ⋮ ASSERTIONALLY EQUIVALENT QUASIVARIETIES ⋮ Tolerance distributive and tolerance modular varieties of commutative semigroups ⋮ Tolerance modular varieties of semigroups ⋮ Unnamed Item ⋮ On the degrees of permutability of subregular varieties ⋮ Varieties with modular and distributive lattices of symmetric or reflexive relations ⋮ Tolerance numbers, congruence $n$-permutability and BCK-algebras ⋮ Unnamed Item ⋮ Varieties having distributive lattices of quasiorders

Cites Work

• Regularity and permutability of congruences
• A Mal'cev condition for admissible relations
• Minimal compatible tolerances on lattices
• Affine Complete Ortholattices
• Algebras Whose Congruence Lattices are Distributive.
• A Characterization of Modularity for Congruence Lattices of Algebras*
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• Unnamed Item
• Unnamed Item

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