On the Ideals of a Lie Ring of Derivations

DOI10.1080/00927870802216446zbMath1186.16051OpenAlexW2021356927MaRDI QIDQ3395203

Cheng-Kai Liu

Publication date: 24 August 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802216446

zbMATH Keywords

derivationssemiprime ringsprime ringsLie rings of derivations

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25) Ideals in associative algebras (16D25) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (3)

Derivations in differentially prime rings ⋮ Semiprime Lie Rings of (Anti-)Symmetric Derivations of Commutative Rings ⋮ Lie rings of (anti-)symmetric derivations of commutative rings

Cites Work

• Prime Lie rings of derivations of commutative rings in characteristic 2
• The Lie structure of a commutative ring with a derivation
• Prime Lie Rings of Derivations of Commutative Rings
• Prime Lie Rings of Derivations of Commutative Rings II
• ℒ-Prime Rings Need Not Be Primary
• Lie Rings of Derivations of Associative Rings
• The Lie Structure of a Commutative Ring with a Derivation

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