On the variety generated by all semigroups of order three.

DOI10.1016/j.jalgebra.2011.02.037zbMath1243.20071OpenAlexW2005816562MaRDI QIDQ652165

Wen Ting Zhang, Yan-Feng Luo

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.02.037

zbMATH Keywords

finite semigroupsvarieties of semigroupsfinite bases of identitieshereditarily finitely based varietieslattices of subvarieties

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Equational classes, universal algebra in model theory (03C05)

Related Items (13)

The finite basis problem for infinite involution semigroups of triangular \(2 \times 2\) matrices ⋮ ON THE VARIETY GENERATED BY THE MONOID OF TRIANGULAR 2×2 MATRICES OVER A TWO-ELEMENT FIELD ⋮ On the finite basis problem for the monoids of partial extensive injective transformations. ⋮ THE FINITE BASIS PROBLEM FOR THE MONOID OF TWO-BY-TWO UPPER TRIANGULAR TROPICAL MATRICES ⋮ Finite basis problem for semigroups of order five or less: generalization and revisitation. ⋮ Finite basis problem for semigroups of order six ⋮ Finite basis problem for 2-testable monoids. ⋮ On lattices of varieties of restriction semigroups. ⋮ Hereditarily finitely based semigroups of triangular matrices over finite fields. ⋮ Classification of Rota-Baxter operators on semigroup algebras of order two and three ⋮ Monoid varieties with extreme properties ⋮ On the finite basis problem for the variety generated by all \(n\)-element semigroups. ⋮ Finite basis problem for the variety generated by all monoids of order five

Cites Work

• The finite basis property for varieties of semigroups
• Lattices of semigroup varieties
• Finite basis theorem for systems of semigroup identities
• The finiteness of a base of identities for five-element monoids
• Varieties generated by semigroups of order four
• Identities satisfied by a finite ring
• Finite semigroups whose varieties have uncountably many subvarieties
• Varieties of associative rings. I
• Bases for equational theories of semi-groups
• The lattice of semigroup varieties
• Identical relations in finite groups
• MINIMAL SEMIGROUPS GENERATING VARIETIES WITH COMPLEX SUBVARIETY LATTICES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the variety generated by all semigroups of order three.