Commutativity of near-rings with derivations by using algebraic substructures.

DOI10.1007/s13226-012-0017-0zbMath1269.16041OpenAlexW1993709751MaRDI QIDQ691671

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

Publication date: 3 December 2012

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

Full work available at URL: https://doi.org/10.1007/s13226-012-0017-0

zbMATH Keywords

commutativity theoremsderivations3-prime near-ringscommutativity of near-ringsnon-left zero-divisorssemigroup ideals

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Near-rings (16Y30) Derivations, actions of Lie algebras (16W25) Ideals in associative algebras (16D25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items

Some results on 3-prime near-rings with derivations ⋮ Commutativity of rings and near-rings with generalized derivations. ⋮ Unnamed Item ⋮ On some properties of near-rings ⋮ Extensions of Boolean Rings and Nearrings

Cites Work

• On derivations and commutativity in prime rings
• Derivations in Prime Rings
• Derivations in Prime Near-Rings
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