Posner and herstein theorems for derivations of 3-prime near-rings

DOI10.1080/00927879608825656zbMath0849.16039OpenAlexW2159199499MaRDI QIDQ4880090

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Publication date: 7 October 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825656

zbMATH Keywords

derivationszero-symmetric \(3\)-prime left near-rings

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 (16)

Unnamed Item ⋮ Unnamed Item ⋮ On prime nearrings with derivations ⋮ The commutativity of prime \(\Gamma\)-rings with generalized skew derivations ⋮ On derivations of prime near-rings. ⋮ Commutativity of rings and near-rings with generalized derivations. ⋮ A Note on the Commutativity of Prime Near-rings ⋮ On commutativity of near-rings with generalized derivations ⋮ DIFFERENTIAL IDENTITIES ON SEMIGROUP IDEALS OF RIGHT NEAR-RINGS ⋮ Konstantin Igorevich Beidar (1951-2004) ⋮ Supercentralizing Superderivations on Prime Superalgebras ⋮ Commutativity of Near-rings with Derivations ⋮ Unnamed Item ⋮ On some properties of near-rings ⋮ Nonexistence of derivations on transformation near-rings ⋮ Existence of derivations on near-rings

Cites Work

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• Different prime ideals in near-rings
• A Note on Derivations II
• On equiprime near-rings
• A Note on Derivations

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