On functional identities in left ideals of prime rings

DOI10.1080/00927870008827008zbMath0971.16014OpenAlexW2044808848MaRDI QIDQ4487371

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Publication date: 7 December 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008827008

zbMATH Keywords

prime ringsleft idealscommutatorsfunctional identitiesextended centroidsanti-homomorphismsJordan homomorphismsring homomorphismssurjective Lie homomorphisms

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (12)

FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE ⋮ Functional Identities in Jordan Algebras: Associating Traces and Lie Triple Isomorphisms ⋮ On maps preserving zero Jordan products. ⋮ Commutativity-preserving maps on Lie ideals of prime algebras. ⋮ On certain power-associative, Lie-admissible subalgebras of matrix algebras ⋮ Konstantin Igorevich Beidar (1951-2004) ⋮ Commuting traces and commutativity preserving maps on triangular algebras. ⋮ Unnamed Item ⋮ Jordan isomorphisms of upper triangular matrix rings. ⋮ Jordan isomorphisms of triangular matrix algebras over a connected commutative ring ⋮ On functional identities andd-free subsets of rings, I ⋮ On functional identities andd-free subsets of rings. II

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