ℒ-Prime Rings Need Not Be Primary

DOI10.1080/00927870701776664zbMath1151.16036OpenAlexW2085456383MaRDI QIDQ3510056

Wen-Fong Ke, Pjek-Hwee Lee, Mikhail A. Chebotar

Publication date: 26 June 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701776664

zbMATH Keywords

prime ringsLie algebras of derivationsprimary ringscommutative \(\mathcal L\)-prime rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Derivations and commutative rings (13N15) Derivations, actions of Lie algebras (16W25)

Related Items (3)

Semiprime Lie Rings of (Anti-)Symmetric Derivations of Commutative Rings ⋮ Lie rings of (anti-)symmetric derivations of commutative rings ⋮ On the Ideals of a Lie Ring of Derivations

Cites Work

• Unnamed Item
• Two counterexamples in power series rings
• Radicals of crossed products of enveloping algebras
• Primitivity in differential operator rings
• A Goldie theorem for differentiably prime rings
• The nil radical of power series rings
• ON DERIVATIONALLY PRIME RINGS
• Noetherian Ore Extensions and Jacobson Rings
• Lie Rings of Derivations of Associative Rings
• Simple Lie Rings of Derivations of Commutative Rings

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