Characterization of non-matrix varieties of associative algebras.

DOI10.1007/s11856-011-0034-4zbMath1221.16020OpenAlexW2069854217MaRDI QIDQ532618

Victor M. Petrogradsky, Amitai Regev, Sergey Mishchenko

Publication date: 5 May 2011

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

Full work available at URL: https://doi.org/10.1007/s11856-011-0034-4

zbMATH Keywords

Grassmann algebrasvarieties of algebrasalgebras with polynomial identitynilelementsnon-matrix polynomial identitiesnon-matrix varieties

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Identities other than those of matrices over commutative rings (16R40)

Related Items (4)

Lie superalgebras whose enveloping algebras satisfy a non-matrix polynomial identity ⋮ Multiplicatively collapsing and rewritable algebras ⋮ Non-matrix polynomial identity enveloping algebras ⋮ Lie solvable enveloping algebras of characteristic two

Cites Work

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• The nilpotency of the radical in a finitely generated P.I. ring
• Homogeneous polynomial identities
• Nonmatrix varieties
• Nonmatrix varieties and nil-generated algebras whose units satisfy a group identity
• PI-algebras generated by nilpotent elements of bounded index
• Identities of associative algebras
• Group algebras and enveloping algebras with nonmatrix and semigroup identities
• The Polynomial Identities of the Grassman Algebra

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