Semigroup Ideals and Commutativity in 3-prime Near Rings

DOI10.1080/00927872.2013.879161zbMath1327.16038OpenAlexW2059214491MaRDI QIDQ5256699

Howard E. Bell, A. Boua, Lahcen Oukhtite

Publication date: 19 June 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.879161

zbMATH Keywords

commutativity theoremsgeneralized derivations3-prime near-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) 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 (18)

Some results on 3-prime near-rings with derivations ⋮ Two sided \(\alpha \)-derivations in 3-prime near-rings ⋮ Commutativity in 3-prime nearrings through permutation identities ⋮ Unnamed Item ⋮ On two-sided α-generalized derivations of 3-prime near-rings ⋮ Some differential identities on prime Banach algebras ⋮ Results on various derivations and Posner’s theorem in prime ideals of rings ⋮ Some algebraic identities in 3-prime near-rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Identities related to generalized derivations in prime \(\ast\)-rings ⋮ Some properties of rings and near-rings with derivations and generalized derivations ⋮ Some algebraic identities in 3-prime near-rings ⋮ Unnamed Item ⋮ COMMUTATIVITY FOR RINGS WITH INVOLUTION INVOLVING GENERALIZED DERIVATIONS ⋮ Generalized multiplicative derivations and commutativity of 3-prime near-rings ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Remarks on derivations on semiprime rings
• Generalized derivations in rings^*

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