On derivations of prime rings*

DOI10.1080/00927879908826615zbMath0934.16032OpenAlexW2001579612MaRDI QIDQ4253117

Peter Šemrl, Matej Brešar, Mikhail A. Chebotar

Publication date: 9 April 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826615

zbMATH Keywords

derivationsprime ringsdifferential identitiescentroids

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (9)

Identities involving generalized derivations in prime rings ⋮ Ternary Hom-Jordan algebras induced by Hom-Jordan algebras ⋮ FINITE PRODUCTS OF DERIVATIONS IN PRIME RINGS ⋮ Maximal right nearring of quotients and semigroup generalized polynomial identity ⋮ Identities with generalized derivations in prime rings. ⋮ DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS ⋮ Prime rings with semigroup generalized identity ⋮ Product of Generalized Derivations with Commuting Values on a Lie Ideal ⋮ Identities with Product of Generalized Derivations of Prime Rings

Cites Work

• Unnamed Item
• On the centralizers of ideals and nil derivations
• Center-like elements in prime rings
• Derivations with nilpotent values
• Derivations with algebraic values
• Semiprime Rings with Nilpotent Derivatives
• On additive maps of prime rings satisfying the engel condition
• Generalized derivations in rings^*

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