A Nonfinitely Based Semigroup of Triangular Matrices

DOI10.1007/978-81-322-2488-4_2zbMath1334.20047arXiv1406.3803OpenAlexW2136715141MaRDI QIDQ3449709

Mikhail V. Volkov

Publication date: 5 November 2015

Published in: Semigroups, Algebras and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3803

zbMATH Keywords

involutory semigroupsfinitely 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 (7)

The finite basis problem for infinite involution semigroups of triangular \(2 \times 2\) matrices ⋮ Identities in unitriangular and gossip monoids ⋮ Free objects in triangular matrix varieties and quiver algebras over semirings ⋮ THE FINITE BASIS PROBLEM FOR INVOLUTION SEMIGROUPS OF TRIANGULAR MATRICES ⋮ Equational theories of upper triangular tropical matrix semigroups ⋮ The finite basis problem for Kauffman monoids. ⋮ The finite basis property of a certain semigroup of upper triangular matrices over a field

Cites Work

• The finite basis problem for Kauffman monoids.
• Identities satisfied by a finite ring
• Varieties of associative rings. I
• Matrix identities involving multiplication and transposition.
• Bases for equational theories of semi-groups
• Identical relations in finite groups
• Equational Bases for Lattice Theories.
• IDENTICAL RELATIONS IN FINITE LIE RINGS
• A CLOSED SET OF LAWS WHICH IS NOT GENERATED BY A FINITE SET OF LAWS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A Nonfinitely Based Semigroup of Triangular Matrices