Polynomial identities in nil-algebras

DOI10.1090/S0002-9947-09-04977-0zbMath1192.16017MaRDI QIDQ3642686

Alexei Krasilnikov, E. V. Aladova

Publication date: 6 November 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

T-idealsbases of identitiesSpecht propertypolynomial identitiesPI-algebrasnil-algebrasnon-Specht identities

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items

Non-matrix polynomial identity enveloping algebras, Limit T-subalgebras in free associative algebras., Limit T-subspaces and the central polynomials in \(n\) variables of the Grassmann algebra., T-spaces in associative algebras.

Cites Work

• The Nagata-Higman theorem
• On the nilpotency of nil-algebras
• A Non-Finitely Based System of Polynomial Identities Which Contains the Identity x6 = 0
• Examples ofT-spaces with an infinite basis
• Counterexamples to the Specht problem
• On non-Spechtianness of the variety of associative rings that satisfy the identity 𝑥³²=0
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