The unitary closure property of the prime varieties of associative algebras.

DOI10.1007/s11202-010-0072-xzbMath1216.16011OpenAlexW2112404869MaRDI QIDQ630297

L. M. Samoilov

Publication date: 17 March 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0072-x

zbMATH Keywords

algebras with polynomial identitiesideals of identitiesmultilinear identitiesprime varieties of algebrasT-idealstrace identitiesEngel identityinfinite fields of characteristic \(p\)nilalgebras of bounded index

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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• Remarks on the prime varieties
• Analogue of the Levitzki theorem for infinitely generated associative algebras.
• Algebraic algebras and prime varieties of associative algebras
• Identities of associative algebras
• TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
• IDENTITIES OF FINITELY GENERATED ALGEBRAS OVER AN INFINITE FIELD
• Multilinear components of the prime subvarieties of the variety \(\text{Var}(M_2(F))\)

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