A note on derivations with power central values on a Lie ideal
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Publication:1086332
DOI10.2140/pjm.1988.132.209zbMath0608.16035OpenAlexW2005101918MaRDI QIDQ1086332
Publication date: 1988
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1988.132.209
Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Rings with polynomial identity (16Rxx)
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Derivations as a generalization of Jordan homomorphisms on Lie ideals and non-commutative Banach algebras. ⋮ Derivations with annihilator conditions on multilinear polynomials ⋮ Semiderivations with power values on Lie ideals in prime rings. ⋮ On Lie ideals with generalized derivations and non-commutative Banach algebras ⋮ DERIVATIONS HAVING THE SAME POWER VALUES ⋮ Centralizers and Vanishing Derivations on Multi-linear Polynomials in Prime Rings ⋮ Generalized Derivations with Power-Central Values on Multilinear Polynomials ⋮ Derivations with power central values on multilinear polynomials in prime rings. ⋮ Generalized Derivations Having the Same Power Values with Left Multiplications ⋮ Differential identities of lie ideals or large right ideals in prime rings ⋮ Annihilators of power values of derivations on Lie ideals of prime rings