Example of Simple Finite Dimensional Algebra with No Finite Basis of Its Identities

DOI10.1080/00927872.2012.706348zbMath1367.17002OpenAlexW1976049164MaRDI QIDQ2863669

A. V. Kislitsin, I. M. Isaev

Publication date: 25 November 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.706348

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 (4)

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

Cites Work

• Finite-dimensional right alternative algebras that do not generate finitely based varieties
• Finite basis property of identities of associative algebras
• Basis for identities of the algebra of upper triangular matrices
• On identities in Lie algebras
• Identities of finite algebras
• Finite-dimensional algebras with infinite bases of identities
• Finite algebras with no independent basis of identities
• Essentially infinitely based varieties of algebras
• Gesetze in Ringen. I
• Polynomial Identities of Finite Dimensional Simple Algebras
• The local finite basis property and local representability of varieties of associative rings
• VARIETIES OF LIE ALGEBRAS

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