Rings with nil and power central \(k\)-th commutators

DOI10.1007/BF02844463zbMath0786.16016MaRDI QIDQ1197533

Jer-Shyong Lin, Chen-Lian Chuang

Publication date: 16 January 1993

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

zbMATH Keywords

commutativitycommutatornilpotentstandard polynomialpower central

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (5)

A note on \(k\)-th commutators in an associative ring ⋮ Right ideals and derivations on multilinear polynomials ⋮ On \(n\)-th commutators with nilpotent or regular values in rings ⋮ Nilpotent and invertible values in semiprime rings with generalized derivations. ⋮ On the generalized hypercentralizer of a Lie ideal in a prime ring

Cites Work

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• Algebraic valued functions on noncommutative rings
• PI-algebras. An introduction
• Algebraic conditions on rings with involution
• On a conjecture by Herstein
• Some rings with nil commutator ideals
• Engel Rings and a Result of Herstein and Kaplansky
• Nill^∗-polynomials in rings
• Periodic and Nil Polynomials in Rings
• Centralizers and Multilinear Polynomials in Non-Commutative Rings

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