The finite basis property of a certain semigroup of upper triangular matrices over a field

DOI10.1142/S0219498816501772zbMath1347.20063OpenAlexW2231557985MaRDI QIDQ2816952

Xun Hu, Yuzhu Chen, Yan-Feng Luo

Publication date: 26 August 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498816501772

zbMATH Keywords

involutory semigroupsbases of identitiesfinitely based semigroupsvarieties of semigroupsupper triangular matrix semigroupsnonfinitely based semigroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05)

Related Items (5)

The finite basis problem for infinite involution semigroups of triangular \(2 \times 2\) matrices ⋮ Finite basis problems for stalactic, taiga, sylvester and baxter monoids ⋮ Identities in unitriangular and gossip monoids ⋮ THE FINITE BASIS PROBLEM FOR INVOLUTION SEMIGROUPS OF TRIANGULAR MATRICES ⋮ Equational theories of upper triangular tropical matrix semigroups

Cites Work

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• Identities of semigroups of triangular matrices over finite fields.
• Identical relations in finite groups
• A Nonfinitely Based Semigroup of Triangular Matrices
• TARSKI’S FINITE BASIS PROBLEM IS UNDECIDABLE

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