Nil subrings of endomorphism rings of finitely generated modules over affine PI-rings.

DOI10.1016/j.jalgebra.2010.06.005zbMath1218.16014OpenAlexW1994705429MaRDI QIDQ626704

Robert M. Guralnick, Lance W. Small, Efim I. Zelmanov

Publication date: 18 February 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.06.005

zbMATH Keywords

endomorphism ringsnil ringsnilpotent idealsnilpotencynilpotent ringsaffine PI-ringsLie subringsweakly Engel Lie rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (1)

Polynomial bound for the nilpotency index of finitely generated nil algebras

Cites Work

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• The nilpotency of the radical in a finitely generated P.I. ring
• On associative algebras satisfying the Engel condition
• Nilpotence of nil subrings implies more general nilpotence
• Associative rings satisfying the Engel condition

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