A note on commutativity of rings with additive mappings.

DOI10.1016/j.ajmsc.2012.10.002zbMath1280.16036OpenAlexW2080926346MaRDI QIDQ375174

Shakir Ali, Mohammad Salahuddin Khan, Ajda Fošner

Publication date: 28 October 2013

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1319516612000369

zbMATH Keywords

commutativity theoremsderivationssemiprime ringscommutatorsadditive mapscentralizing mapscommuting mapscommutativity-preserving maps

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Generalizations of commutativity (associative rings and algebras) (16U80) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Cites Work

• On the commutator ideal of certain rings
• On strong commutativity preserving mappings
• A Condition for the Commutativity of Rings
• On Commutativity and Strong Commutativity-Preserving Maps
• On commutativity of rings with some polynomial constraints
• An Elementary Commutativity Theorem for Rings
• A commutativity theorem
• Unnamed Item

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