THE FINITE BASIS PROBLEM FOR INVOLUTION SEMIGROUPS OF TRIANGULAR MATRICES

DOI10.1017/S0004972719001035zbMath1480.20128OpenAlexW2977704844WikidataQ127174848 ScholiaQ127174848MaRDI QIDQ5212965

Yan-Feng Luo, Wen Ting Zhang

Publication date: 31 January 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972719001035

zbMATH Keywords

semigroupvarietymatrixfinite basis problemidentity basis

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 (3)

A non-finitely based involution semigroup of order five ⋮ Finite basis problem for involution monoids of unitriangular Boolean matrices ⋮ The monoid of \(2 \times 2\) triangular Boolean matrices under skew transposition is non-finitely based

Cites Work

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• Finite involution semigroups with infinite irredundant bases of identities.
• Unary enhancements of inherently non-finitely based semigroups.
• On the finite basis problem for the monoids of triangular Boolean matrices.
• Nonfinitely based three-element idempotent groupoids
• Identities satisfied by a finite ring
• Varieties of associative rings. I
• Identities of semigroups of triangular matrices over finite fields.
• Equational theories of semigroups with involution.
• Hereditarily finitely based semigroups of triangular matrices over finite fields.
• The variety of Kleene algebras with conversion is not finitely based
• The finite basis problem for infinite involution semigroups of triangular \(2 \times 2\) matrices
• Matrix identities involving multiplication and transposition.
• Bases for equational theories of semi-groups
• Identical relations in finite groups
• The finite basis property of a certain semigroup of upper triangular matrices over a field
• ON THE VARIETY GENERATED BY THE MONOID OF TRIANGULAR 2×2 MATRICES OVER A TWO-ELEMENT FIELD
• A Nonfinitely Based Semigroup of Triangular Matrices
• Finite axiomatizability for equational theories of computable groupoids
• Equational Bases for Lattice Theories.
• IDENTICAL RELATIONS IN FINITE LIE RINGS
• TARSKI’S FINITE BASIS PROBLEM IS UNDECIDABLE

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