On matrix types of prime varieties of associative algebras.

DOI10.1134/S0037446613050157zbMath1284.16026OpenAlexW2129937688MaRDI QIDQ392742

L. M. Samoilov

Publication date: 15 January 2014

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

Full work available at URL: https://doi.org/10.1134/s0037446613050157

zbMATH Keywords

algebras with polynomial identitiesideals of identitiesprime varieties of algebrasT-idealstrace identitiesregular prime varieties

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) 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
• On the nilindex of the radical of a relatively free associative algebra.
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
• MULTILINEAR IDENTITIES OF THE ALGEBRAS OVER A FIELD OF CHARACTERISTIC P
• Multilinear components of the prime subvarieties of the variety \(\text{Var}(M_2(F))\)

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