Semiprime Lie Rings of (Anti-)Symmetric Derivations of Commutative Rings

DOI10.1080/00927872.2012.749261zbMath1296.16052OpenAlexW2057306846MaRDI QIDQ5413994

Cheng-Kai Liu, Pao-Kuei Liau

Publication date: 2 May 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.749261

zbMATH Keywords

rings with involutionsymmetric derivationssemiprime Lie rings\(\delta\)-semiprime ringsanti-symmetric 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) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items

Rings with simple Lie rings of Lie and Jordan derivations

Cites Work

• Prime Lie rings of derivations of commutative rings in characteristic 2
• The Lie structure of a commutative ring with a derivation
• Radicals of crossed products of enveloping algebras
• Simple Lie algebras of Witt type
• On the simplicity of Lie algebras of derivations of commutative algebras
• On the Ideals of a Lie Ring of Derivations
• 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 (anti-)symmetric derivations of commutative rings
• On the Ideals of a Lie Algebra of Derivations
• Lie Rings of Derivations of Associative Rings
• Simple Lie Rings of Derivations of Commutative Rings
• The Lie Structure of a Commutative Ring with a Derivation

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