Derivations and Skew Polynomial Rings

DOI10.1080/00927870601052539zbMath1117.16023OpenAlexW2110398244WikidataQ57788085 ScholiaQ57788085MaRDI QIDQ3429300

Chen-Lian Chuang, Tsiu-Kwen Lee

Publication date: 30 March 2007

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

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/183197/1/19.pdf

zbMATH Keywords

skew polynomial ringsprime ringsalgebraic derivationsnilpotent derivationsMartindale quotient rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25)

Related Items (5)

On the Jacobson radical of constants of derivations. ⋮ Constants of Algebraic Derivations in Prime Rings ⋮ Ore Extensions of Ore Domains ⋮ Invariant polynomials of Ore extensions by $q$-skew derivations ⋮ On the structure of semi-invariant polynomials in Ore extensions.

Cites Work

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• Nilpotent derivations.
• Goldie conditions for constants of algebraic derivations of semiprime algebras
• Prime and principal closed ideals in polynomial rings
• On nilpotent derivations of semiprime rings
• On constants of algebraic derivations and fixed points of algebraic automorphisms
• Prime rings satisfying a generalized polynomial identity
• Prime Ideals in Skew Polynomial Rings of Derivation Type
• Ideals and quotient rings of skew polynomial rings
• Constants of algebric derivations
• A generalization of a theorem on linear differential equations
• Artinian property of constants of algebraic \(q\)-skew derivations

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