On a conjecture by Herstein

DOI10.1016/0021-8693(89)90322-0zbMath0688.16036OpenAlexW2022148550WikidataQ122923471 ScholiaQ122923471MaRDI QIDQ1263656

Jer-Shyong Lin, Chen-Lian Chuang

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90322-0

zbMATH Keywords

centerextended commutatorscommutativitynil radicalhypercenter theoremnil right idealsC-ring\(C_ k\)-ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Rings with polynomial identity (16Rxx)

Related Items (12)

Rings with algebraic n-engel elements ⋮ An Engel Condition with Derivation ⋮ Кільця з нільпотетними диференціюваннями індексів ≤ 2 ⋮ Torsion subgroups, solvability and the Engel condition in associative rings ⋮ An Engel condition with derivation for left ideals ⋮ Derivations with values satisfying a right or left S_2n–polynomial ⋮ Prime rings with hypercommuting derivations on a Lie ideal ⋮ Rings with nil and power central \(k\)-th commutators ⋮ Near-commutativity and partial-periodicity conditions for rings. ⋮ Commutativity conditions for rings: 1950-2005. ⋮ On the generalized hypercentralizer of a Lie ideal in a prime ring ⋮ HYPERCOMMUTING VALUES IN ASSOCIATIVE RINGS WITH UNITY

Cites Work

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• On generalized commutators and nil commutator ideals
• On rings with a particular variable identity
• On the hypercenter of a ring
• Invariant subrings of a certain kind
• Some rings with nil commutator ideals
• On the Lie structure of an associative ring
• Engel Rings and a Result of Herstein and Kaplansky
• A Note on Radical Extensions of Rings
• Some commutativity results for rings
• A commutativity theorem

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