Analogue of the Levitzki theorem for infinitely generated associative algebras.

DOI10.1134/S0001434609070141zbMath1205.16017MaRDI QIDQ736214

L. M. Samoilov

Publication date: 27 October 2009

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

zbMATH Keywords

nilpotent elementsfree associative algebrasassociative algebrasnilalgebras of bounded indexinfinitely generated algebrasLevitzki theorem

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (2)

Algebraic families of Galois representations and potentially semi-stable pseudodeformation rings ⋮ The unitary closure property of the prime varieties of associative algebras.

Cites Work

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