Prime Lie Rings of Derivations of Commutative Rings

DOI10.1080/00927870600878140zbMath1126.16022OpenAlexW4253616477MaRDI QIDQ3422858

Mikhail A. Chebotar, Pjek-Hwee Lee

Publication date: 14 February 2007

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

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/181513/1/07.pdf

zbMATH Keywords

derivationscommutative ringsprime Lie rings

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 (8)

Prime Lie Rings of Derivations of Commutative Rings II ⋮ Prime Lie algebras satisfying the standard Lie identity of degree 5 ⋮ Derivations in differentially prime rings ⋮ Prime Lie rings of derivations of commutative rings in characteristic 2 ⋮ Semiprime Lie Rings of (Anti-)Symmetric Derivations of Commutative Rings ⋮ Lie rings of (anti-)symmetric derivations of commutative rings ⋮ Derivations of differentially semiprime rings ⋮ On the Ideals of a Lie Ring of Derivations

Cites Work

• Unnamed Item
• The Lie structure of a commutative ring with a derivation
• Radicals of crossed products of enveloping algebras
• On the Ideals of a Lie Algebra of Derivations
• Lie Rings of Derivations of Associative Rings
• Simple Lie Rings of Derivations of Commutative Rings

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