The Additivity of Multiplicative Maps on Rings

DOI10.1080/00927870802623369zbMath1181.16034OpenAlexW2109259825MaRDI QIDQ3395199

Yu Wang

Publication date: 24 August 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802623369

zbMATH Keywords

idempotentsadditive maps\(n\)-multiplicative derivationsmultiplicative isomorphisms\(n\)-multiplicative maps on rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25)

Related Items

Multiplicative Lie derivations on triangular n-matrix rings ⋮ Additivity of \(n\)-multiplicative mappings of gamma rings ⋮ Multiplicative maps of matrices over rings ⋮ Additivity of multiplicative maps on triangular rings. ⋮ Study of multiplicative derivation and its additivity ⋮ On ∗-reverse derivable maps ⋮ Multiplicative anti-derivations of generalized n-matrix rings ⋮ Additivity of nonlinear higher anti-derivable mappings on generalized matrix algebras ⋮ Unnamed Item ⋮ Additivity of Jordan maps on triangular algebras ⋮ Additivity ofn-Multiplicative Maps on Alternative Rings ⋮ On additivity of derivations ⋮ On generalized ∗-reverse derivable maps

Cites Work

• When is a multiplicative derivation additive?
• Additivity of Elementary Maps on Rings
• Elementary Operators on Standard Operator Algebras
• One-to-one mappings of rings and lattices