ON THE COMMUTATIVITY OF PRIME RINGS WITH DERIVATION

DOI10.1080/16073606.1999.9632085zbMath0958.16036OpenAlexW2076744552MaRDI QIDQ4506105

Howard E. Bell

Publication date: 3 April 2001

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1999.9632085

zbMATH Keywords

commutativity theoremsderivationsprime rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Generalizations of commutativity (associative rings and algebras) (16U80) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (13)

Unnamed Item ⋮ Banach algebra with generalized derivations ⋮ On skew derivations and generalized skew derivations in Banach algebras ⋮ Generalized derivations and commutativity of prime Banach algebras ⋮ On $^*$-differential identities in prime rings with involution ⋮ On commutativity of rings and Banach algebras with generalized derivations ⋮ On some properties of near-rings ⋮ On rings and algebras with derivations ⋮ Some commutativity theorems on Banach algebras ⋮ On Prime and Semiprime Rings with Derivations ⋮ On continuous linear generalized derivation in rings and Banach algebras ⋮ On semi(prime) rings and algebras with automorphisms and generalized derivations ⋮ ON COMMUTATIVITY OF BANACH ALGEBRAS WITH DERIVATIONS

Cites Work

• Remarks on derivations on semiprime rings
• On derivations and commutativity in prime rings
• On some commutativity theorems of Herstein
• On the Power Map and Ring Commutativity
• A Note on Derivations
• An Engel condition with derivation for left ideals
• Centralizing Mappings of Semiprime Rings
• A Generalization of a Theorem of Jacobson

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