Commutativity theorems in rings with involution
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Publication:2976187
DOI10.1080/00927872.2016.1172629zbMath1370.16036OpenAlexW2528500749MaRDI QIDQ2976187
Abdellah Mamouni, Ali Kacha, Badr Nejjar, Lahcen Oukhtite
Publication date: 28 April 2017
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2016.1172629
ringinvolutionderivationcommutativitycommutator2-torsionsymmetricprimeanticommutatorcommutativity preserving
Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)
Related Items (36)
Involution on prime rings with endomorphisms ⋮ Unnamed Item ⋮ Herstein’s theorem for prime ideals in rings with involution involving pair of derivations ⋮ Commutativity of prime rings with generalized derivations and anti-automorphisms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Differential identities on prime rings with involution ⋮ Some commutativity criteria for prime rings with involution involving symmetric and skew symmetric elements ⋮ Characterization of b-generalized Derivations in Rings with Involution ⋮ A Pair of Derivations of Prime Rings with Involution ⋮ On Certain $$*$$-differential Identities in Prime Rings with Involution ⋮ Commutativity of $$*$$-Prime Rings with Generalized Derivations on $$*$$-Jordan Ideals ⋮ Unnamed Item ⋮ On skew derivations and antiautomorphisms in prime rings ⋮ On prime ideals with generalized derivations in rings with involution ⋮ Characterization of prime rings having involution and centralizers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some commutativity theorems for rings with involution involving generalized derivations ⋮ Some commutativity criteria for prime rings with differential identities on Jordan ideals ⋮ Unnamed Item ⋮ A study of differential prime rings with involution ⋮ Certain commutativity criteria for rings with involution involving generalized derivations ⋮ Certain algebraic identities on prime rings with involution ⋮ Unnamed Item ⋮ COMMUTATIVITY FOR PRIME *-RINGS WITH LEFT MULTIPLIERS ⋮ On Commutativity of Prime Rings with Involution Involving Pair of Derivations ⋮ New classes of endomorphisms and some classification theorems ⋮ Center-like subsets in rings with derivations or endomorphisms ⋮ Unnamed Item ⋮ On generalized derivations and commutativity of prime rings with involution ⋮ Some commutativity criteria involving endomorphism conditions on prime ideals ⋮ Identities involving skew Lie product and a pair of generalized derivations in prime rings with involution ⋮ Some results on ∗-differential identities in prime rings
Cites Work
- Unnamed Item
- On derivations and commutativity of prime rings with involution.
- Posner's second theorem for Jordan ideals in rings with involution.
- Derivations satisfying certain algebraic identities on Jordan ideals.
- On derivations in semiprime rings.
- Commutativity preserving maps
- On commutativity of rings with derivations
- On derivations and commutativity in prime rings
- On strong commutativity preserving mappings
- On Commutativity and Strong Commutativity-Preserving Maps
- Strong Commutativity Preserving Maps of Semiprime Rings
- Centralizing Mappings of Semiprime Rings
- On *-centralizing mappings in rings with involution
- Generalized derivations centralizing on Jordanideals of rings with involution
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