On non-Spechtianness of the variety of associative rings that satisfy the identity 𝑥³²=0

DOI10.1090/S1079-6762-00-00080-9zbMath0961.16011OpenAlexW1557278123MaRDI QIDQ4523223

Aleksandr V. Grishin

Publication date: 8 January 2001

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224682

zbMATH Keywords

algebras with polynomial identitiesnil algebrasvarieties of algebrasSpecht problemnon-finitely based varieties

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (13)

A SIMPLE EXAMPLE OF A NON-FINITELY BASED SYSTEM OF POLYNOMIAL IDENTITIES ⋮ On the structure of a relatively free Grassmann algebra. ⋮ 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. ⋮ On polynomial identities in nil-algebras. ⋮ Limit T-spaces. ⋮ Weak polynomial identities and their applications ⋮ The subalgebra of graded central polynomials of an associative algebra. ⋮ T-spaces and their applications. ⋮ On Finite Basis Property for Joins of Varieties of Associative Rings ⋮ On some extremal varieties of associative algebras. ⋮ Polynomial identities in nil-algebras

Cites Work

• Identities satisfied by a finite ring
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