A Theorem on Derivations of Prime Rings with Involution

DOI10.4153/CJM-1982-023-xzbMath0495.16007MaRDI QIDQ3958605

I. N. Herstein

Publication date: 1982

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

involutionsymmetric elementsderivationprime ringcentral closure

Mathematics Subject Classification ID

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)

Related Items (12)

GENERALIZED (α, β)^*-DERIVATIONS AND RELATED MAPPINGS IN SEMIPRIME *-RINGS ⋮ Derivations nilpotent on subsets of prime rings ⋮ Differential and difference algebra ⋮ Unnamed Item ⋮ On Certain $$*$$-differential Identities in Prime Rings with Involution ⋮ Nonlinear strong commutativity preserving maps on skew elements of prime rings with involution. ⋮ On $*$-commuting mappings and derivations in rings with involution ⋮ Differential Identities in Prime Rings With Involution ⋮ An identity for matrix rings with involution ⋮ Associative rings ⋮ Minimal *-differential identities in prime rings ⋮ Strong commutativity preserving maps in prime rings with involution.

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