Semiprime rings with prime ideals invariant under derivations.

DOI10.1016/j.jalgebra.2005.11.009zbMath1109.16031OpenAlexW2032613162WikidataQ57788159 ScholiaQ57788159MaRDI QIDQ852676

Chen-Lian Chuang, Tsiu-Kwen Lee

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.11.009

zbMATH Keywords

derivationssemiprime ringsinvariant prime ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25)

Related Items (6)

Torsion subgroups, solvability and the Engel condition in associative rings ⋮ Unnamed Item ⋮ m-Power Commuting MAPS on Semiprime Rings ⋮ Faithfulf-Free Algebras ⋮ Structure of a quotient ring \(R/P\) with generalized derivations acting on the prime ideal P and some applications ⋮ Jacobson Radicals of Ore Extensions of Derivation Type

Cites Work

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• Derivations and nil ideals
• Primitivity in differential operator rings
• On the composition of derivations
• Invariance of Minimal Prime Ideals Under Derivations
• Orthogonal completeness and algebraic systems
• Automorphic-Differential Identities in Rings
• A Commutativity Theorem for Rings
• Some results on the center of a ring with polynomial identity
• The Structure of a Certain Class of Rings

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