A note on \(k\)-th commutators in an associative ring

DOI10.1007/BF02844726zbMath0903.16017MaRDI QIDQ1389822

No author found.

Publication date: 5 January 1999

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

regular elementscommutativity theoremsnilpotent elementscenternoncentral Lie ideals2-torsion free rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Identities other than those of matrices over commutative rings (16R40)

Related Items (6)

An identity with generalized skew derivations on Lie ideals ⋮ Commutativity and Skew-commutativity Conditions with Generalized Derivations ⋮ Power values of quadratic polynomials with generalized skew derivations on Lie ideals ⋮ Generalized derivations preserving Engel condition in prime and semiprime rings ⋮ Strong commutativity preserving generalized derivations on multilinear polynomials ⋮ Strong commutativity and Engel condition preserving maps in prime and semiprime rings

Cites Work

• On \(n\)-th commutators with nilpotent or regular values in rings
• Rings with nil and power central \(k\)-th commutators
• PI-algebras. An introduction
• On the Lie structure of an associative ring
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