Derivations and commutativity of \sigma-prime rings
Copyright policy )Derivations and commutativity of \sigma-prime rings
Summary: Let \(R\) be a \(\sigma\)-prime ring with characteristic not two and \(d\) be a nonzero derivation of \(R\) commuting with \(\sigma\). The purpose of this paper is to give suitable conditions under which \(R\) must be commutative.
Prime and semiprime associative rings, \(\sigma\)-prime rings, Rings with involution; Lie, Jordan and other nonassociative structures, derivations, centralizing maps, additive mappings, \(\sigma\)-ideals, rings with involution, Derivations, actions of Lie algebras, commutativity theorems, Center, normalizer (invariant elements) (associative rings and algebras)
Prime and semiprime associative rings, \(\sigma\)-prime rings, Rings with involution; Lie, Jordan and other nonassociative structures, derivations, centralizing maps, additive mappings, \(\sigma\)-ideals, rings with involution, Derivations, actions of Lie algebras, commutativity theorems, Center, normalizer (invariant elements) (associative rings and algebras)
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