Rings with algebraic n-engel elements

DOI10.1080/00927879408824929zbMath0806.16036OpenAlexW2013114259MaRDI QIDQ4288217

Arnaldo Mandel, Antonio Giambruno, Jairo Z. Goncalves

Publication date: 7 February 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824929

zbMATH Keywords

Jacobson radicalnilradicalcommutativity of ringsright nil ideals\(k\)-Engel elementcommutativity of division rings

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Generalizations of commutativity (associative rings and algebras) (16U80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Jacobson radical, quasimultiplication (16N20)

Related Items (3)

Unnamed Item ⋮ A Note on Skew-Commutators with Derivations on Ideals ⋮ A note on identities with derivations in prime rings

Cites Work

• On a conjecture by Herstein
• Periodic and Nil Polynomials in Rings
• A commutativity theorem

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