m-Power Commuting MAPS on Semiprime Rings

DOI10.1080/00927872.2012.731623zbMath1296.16047OpenAlexW1999671594WikidataQ57787684 ScholiaQ57787684MaRDI QIDQ5412023

Tsiu-Kwen Lee, Hülya İnceboz, Muhammet Tamer Koşan

Publication date: 25 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.731623

zbMATH Keywords

idempotentssemiprime ringsadditive mapsorthogonal completenesspower centralizing mapspower commuting mapsself-injective Boolean rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25) Functional identities (associative rings and algebras) (16R60)

Related Items (10)

Antiautomorphisms with quasi-generalized Engel condition ⋮ Additiven-commuting maps on semiprime rings ⋮ Certain basic functional identities of semiprime rings ⋮ Centralizers and Jordan triple derivations of semiprime rings ⋮ Generalized power commuting antiautomorphisms ⋮ Power commuting additive maps on invertible or singular matrices ⋮ Power commuting additive maps on rank-klinear transformations ⋮ Anti-automorphisms satisfying an Engel condition ⋮ Anti-endomorphisms and endomorphisms satisfying an Engel condition ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Semiprime rings with prime ideals invariant under derivations.
• The additive subgroup generated by a polynomial
• On generalized biderivations and related maps
• Centralizing mappings and derivations in prime rings
• Nonadditive Strong Commutativity Preserving Maps
• On functional identities and commuting additive mappings
• On additive maps of prime rings
• Faithfulf-Free Algebras
• Decompositions of Quotient Rings andm-Power Commuting Maps
• Some results on the center of a ring with polynomial identity

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