On additive maps of prime rings

DOI10.1017/S0004972700014209zbMath0833.16016MaRDI QIDQ4848319

Matej Brešar, Bojan Hvala

Publication date: 11 March 1996

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

prime ringsadditive mapsextended centroid

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (15)

FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE ⋮ Remarks on certain identities with derivations on semiprime rings. ⋮ Unnamed Item ⋮ Some results concerning \(n\)-\(\sigma\)-centralizing mappings in semiprime rings. ⋮ A generalization of Posner's theorem on derivations in rings ⋮ \(\sigma\)-commuting and \(\sigma\)-centralizing anti-homomorphisms ⋮ m-Power Commuting MAPS on Semiprime Rings ⋮ A Result Concerning Additive Mappings in Semiprime Rings ⋮ Power commuting additive maps on invertible or singular matrices ⋮ Power commuting additive maps on rank-klinear transformations ⋮ N-commuting mappings on (semi)-prime rings with applications ⋮ Power commuting traces of bilinear maps on invertible elements ⋮ On skew-commuting mappings in semiprime rings ⋮ Weak Jordan derivations of prime rings ⋮ On ideals of prime rings involving $n$-skew commuting additive mappings with applications

Cites Work

• Centralizing mappings and derivations in prime rings
• Semiprime Rings with Nilpotent Derivatives
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings

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