An example of a simple finite-dimensional algebra with no finite basis of identities

DOI10.1134/S1064562412060154zbMath1301.17002OpenAlexW2019181950MaRDI QIDQ1945183

A. V. Kislitsin, I. M. Isaev

Publication date: 3 April 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412060154

zbMATH Keywords

simple algebranonassociative algebracentral algebrabasis of identities of algebra

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10) Nonassociative algebras satisfying other identities (17A30)

Related Items (5)

A CHARACTERIZATION OF DERIVATIONS AND AUTOMORPHISMS ON SOME SIMPLE ALGEBRAS ⋮ Simple finite-dimensional algebras without finite basis of identities ⋮ On simple finite-dimensional algebras with infinite basis of identities ⋮ An example of a central simple commutative finite-dimensional algebra with an infinite basis of identities ⋮ Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities

Cites Work

• Finite algebras with no independent basis of identities
• Identities satisfied by a finite ring
• Polynomial Identities of Finite Dimensional Simple Algebras

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