Unary enhancements of inherently non-finitely based semigroups.

DOI10.1007/s00233-013-9509-4zbMath1317.20052arXiv1301.3275OpenAlexW2052217209MaRDI QIDQ467506

Igor Dolinka, T. V. Pervukhina, Karl Auinger, Mikhail V. Volkov

Publication date: 3 November 2014

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3275

zbMATH Keywords

involutory semigroupsregular semigroupsfinite semigroupsinherently nonfinitely based semigroupslocally finite varieties of semigroupstwisted semilattices

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Regular semigroups (20M17) Semilattices (06A12) Varieties (08B99)

Related Items (15)

The finite basis problem for infinite involution semigroups of triangular \(2 \times 2\) matrices ⋮ Finite basis problem for Catalan monoids with involution ⋮ The finite basis problem for Kiselman monoids. ⋮ Representations and identities of Baxter monoids with involution ⋮ Representations and identities of hypoplactic monoids with involution ⋮ Varieties generated by unstable involution semigroups with continuum many subvarieties ⋮ Finite basis problem for involution monoids of unitriangular Boolean matrices ⋮ Equational theories of unstable involution semigroups ⋮ THE FINITE BASIS PROBLEM FOR INVOLUTION SEMIGROUPS OF TRIANGULAR MATRICES ⋮ Equational theories of upper triangular tropical matrix semigroups ⋮ The monoid of \(2 \times 2\) triangular Boolean matrices under skew transposition is non-finitely based ⋮ The finite basis problem for Kauffman monoids. ⋮ Non-Specht variety generated by an involution semigroup of order five ⋮ Finitely based finite involution semigroups with non-finitely based reducts ⋮ Finite basis problem for Lee monoids with involution

Cites Work

• On finitely based groups and nonfinitely based quasivarieties
• Identities of semigroups of triangular matrices over finite fields.
• On identities of finite involution semigroups.
• Matrix identities involving multiplication and transposition.
• Equationally complete semigroups with involution
• The Algebra of Adjacency Patterns: Rees Matrix Semigroups with Reversion
• PROBLEMS OF BURNSIDE TYPE AND THE FINITE BASIS PROPERTY IN VARIETIES OF SEMIGROUPS
• IDENTITIES OF FINITE INVERSE SEMIGROUPS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Unary enhancements of inherently non-finitely based semigroups.