Commutativity of rings and near-rings with generalized derivations.

DOI10.1007/S13226-013-0025-8zbMath1291.16046OpenAlexW2073463308MaRDI QIDQ384865

Khalid H. Al-Shaalan, Ahmed A. M. Kamal

Publication date: 29 November 2013

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-013-0025-8

zbMATH Keywords

commutativity theoremsnear-ringsprime ringsgeneralized derivationsprimeness

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Near-rings (16Y30) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (5)

The commutativity of prime \(\Gamma\)-rings with generalized skew derivations ⋮ On commutativity of near-rings with generalized derivations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some properties of rings and near-rings with derivations and generalized derivations

Cites Work

• Unnamed Item
• Commutativity of near-rings with derivations by using algebraic substructures.
• On prime near-rings with generalized derivation.
• Existence of derivations on near-rings
• On Prime and Semiprime Near-Rings with Generalized Derivation
• Derivations in Prime Near-Rings
• Posner and herstein theorems for derivations of 3-prime near-rings

This page was built for publication: Commutativity of rings and near-rings with generalized derivations.