Distributive elements of the lattice of semigroup varieties

DOI10.1007/s10469-010-9090-9zbMath1223.08002OpenAlexW2078632424MaRDI QIDQ619322

Vyacheslav Yu. Shaprynskiǐ, Boris M. Vernikov

Publication date: 24 January 2011

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-010-9090-9

zbMATH Keywords

lattice of varietiesdistributive elementsemigroup variety

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07)

Related Items (6)

Special elements of the lattice of epigroup varieties ⋮ Special elements in the lattice of overcommutative semigroup varieties revisited. ⋮ Proofs of definability of some varieties and sets of varieties of semigroups. ⋮ Codistributive elements of the lattice of semigroup varieties. ⋮ Modular and lower-modular elements of lattices of semigroup varieties. ⋮ Cancellable elements of the lattices of varieties of semigroups and epigroups

Cites Work

• Special elements in the lattice of overcommutative semigroup varieties revisited.
• Lattices of semigroup varieties
• Upper-modular elements of the lattice of semigroup varieties
• On cross semigroup varieties and related questions
• Definability in the lattice of equational theories of semigroups
• Special elements of the lattice of overcommutative varieties of semigroups.
• Lower-modular elements of the lattice of semigroup varieties.
• Semigroups satisfying permutation identities
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