An example of a central simple commutative finite-dimensional algebra with an infinite basis of identities

DOI10.1007/S10469-015-9341-XzbMath1347.17002OpenAlexW2271799954MaRDI QIDQ903181

N. E. Zubov

Publication date: 5 January 2016

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-015-9341-x

zbMATH Keywords

basis of identitiessimple algebraidentity of algebrainfinitely based algebra

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30)

Related Items (3)

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

Cites Work

• Unnamed Item
• Finite-dimensional right alternative algebras that do not generate finitely based varieties
• Finite basis property of identities of associative algebras
• On identities in Lie algebras
• Identities of finite algebras
• A nonassociative algebra having no finite basis for its laws
• Finite-dimensional algebras with infinite bases of identities
• Finite algebras with no independent basis of identities
• An example of a simple finite-dimensional algebra with no finite basis of identities
• Essentially infinitely based varieties of algebras
• The identities of vector spaces embedded in a linear algebra
• Gesetze in Ringen. I
• Example of Simple Finite Dimensional Algebra with No Finite Basis of Its Identities
• Polynomial Identities of Finite Dimensional Simple Algebras
• The local finite basis property and local representability of varieties of associative rings
• VARIETIES OF LIE ALGEBRAS

This page was built for publication: An example of a central simple commutative finite-dimensional algebra with an infinite basis of identities