Examples of associative algebras for which the T-space of central polynomials is not finitely based.

DOI10.1007/S11856-011-0142-1zbMath1262.16017arXiv0905.1116OpenAlexW2010004903MaRDI QIDQ1758961

C. Bekh-Ochir, Stuart A. Rankin

Publication date: 19 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1116

zbMATH Keywords

free associative algebrasbases of identitiesGrassmann algebrasfinite basis propertyT-spacescentral polynomialsalgebras with polynomial identity

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items (1)

Limit T-subalgebras in free associative algebras.

Cites Work

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• T-spaces and their applications.
• The Identities and the Central Polynomials of the Infinite Dimensional Unitary Grassmann Algebra Over a Finite Field
• THE CENTRAL POLYNOMIALS OF THE INFINITE-DIMENSIONAL UNITARY AND NONUNITARY GRASSMANN ALGEBRAS
• ON THE GRASSMANN T-SPACE
• Examples ofT-spaces with an infinite basis
• The finite basis property ofT-spaces over fields of characteristic zero
• On the identities of the Grassmann algebras in characteristic \(p>0\)

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