Commutativity of rings with derivations.

DOI10.1007/s10474-010-9092-zzbMath1214.16034OpenAlexW2093121145MaRDI QIDQ532084

Homeira Pajoohesh, Susan J. Andima

Publication date: 26 April 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-9092-z

zbMATH Keywords

commutativity theoremssemiprime ringsprime ringsinner derivationspowers of derivations

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) 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 (8)

Unnamed Item ⋮ Unnamed Item ⋮ On multiplicative (generalized)-derivations in prime and semiprime rings. ⋮ Commutativity theorems for *-prime rings with differential identities on Jordan ideals. ⋮ On Lie ideals with multiplicative (generalized)-derivations in prime and semiprime rings. ⋮ Generalized derivations on power values of Lie ideals in prime and semiprime rings. ⋮ Higher derivations and commutativity in lattice-ordered rings. ⋮ COMMUTATIVITY FOR RINGS WITH INVOLUTION INVOLVING GENERALIZED DERIVATIONS

Cites Work

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• On derivations and commutativity in prime rings
• Structure theory for algebraic algebras of bounded degree
• Derivations in Prime Rings
• A Note on Derivations II
• A Note on Derivations
• On commutativity of rings with some polynomial constraints
• A commutativity theorem for semiprime rings
• A NOTE ON THE COMMUTATIVITY OF RINGS

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