On Additive Maps and Commutativity in Rings
Copyright policy )On Additive Maps and Commutativity in Rings
Various results concerning (skew-)commuting and skew-centralizing maps on (semi)prime rings are obtained. A sample result: Let \(R\) be a 2-torsionfree semiprime ring, \(U\) be a nonzero left ideal of \(R\) and \(d\) be a derivation of \(R\). If \(d\) is skew-commuting on \(U\) (that is, \(ud(u)+d(u)u=0\) for all \(u\in U\)), then \(d(U)=0\).
- Brock University Canada
Prime and semiprime associative rings, endomorphisms, derivations, Generalizations of commutativity (associative rings and algebras), Derivations, actions of Lie algebras, prime rings, skew-commuting maps, skew-centralizing maps, Automorphisms and endomorphisms, semiprime rings
Prime and semiprime associative rings, endomorphisms, derivations, Generalizations of commutativity (associative rings and algebras), Derivations, actions of Lie algebras, prime rings, skew-commuting maps, skew-centralizing maps, Automorphisms and endomorphisms, semiprime rings
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