Finite involution semigroups with infinite irredundant bases of identities.

DOI10.1515/forum-2014-0098zbMath1345.20071OpenAlexW2346774240MaRDI QIDQ280786

Edmond W. H. Lee

Publication date: 10 May 2016

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

Full work available at URL: https://nsuworks.nova.edu/cgi/viewcontent.cgi?article=1158&context=math_facarticles

zbMATH Keywords

finite semigroupsinvolution semigroupsbases of identitiesirredundant basesfinite basis property

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Equational logic, Mal'tsev conditions (08B05)

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The finite basis problem for infinite involution semigroups of triangular \(2 \times 2\) matrices ⋮ A non-finitely based involution semigroup of order five ⋮ Finite basis problem for Catalan monoids with involution ⋮ A survey on varieties generated by small semigroups and a companion website ⋮ The finite basis problem for Kiselman monoids. ⋮ Representations and identities of Baxter monoids with involution ⋮ Representations and identities of hypoplactic monoids with involution ⋮ 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 ⋮ Finitely based finite involution semigroups with non-finitely based reducts ⋮ Intervals of varieties of involution semigroups with contrasting reduct intervals ⋮ Finite basis problem for Lee monoids with involution

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