Derivations and multilinear polynomials

zbMath0738.16016MaRDI QIDQ1812746

Onofrio Mario di Vincenzo

Publication date: 25 June 1992

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1989__81__209_0

zbMATH Keywords

centerLie idealsderivationcentroidprime ringstandard polynomial identity\(f\)-radicalmultilinear and homogeneous polynomial

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) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items

Prime rings with hypercommuting derivations on a Lie ideal

Cites Work

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• A theorem on invariant subrings
• f-radical extensions of rings
• Centralizers and Lie ideals
• Lie ideals and derivations of prime rings
• A commutativity theorem for rings with derivations
• Algebraic valued functions on noncommutative rings
• Periodic and Nil Polynomials in Rings