Goldie conditions for constants of algebraic derivations of semiprime algebras

DOI10.1007/BF02784060zbMath0799.16029MaRDI QIDQ690074

Piotr Grzeszczuk, Jerzy Matczuk

Publication date: 7 December 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

regular elementsnilpotent elementsquotient ringslocalizationGoldie ringschain conditionsGoldie rankalgebraic derivationfinite dimensional solvable Lie algebrasubring of constants

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Solvable, nilpotent (super)algebras (17B30) Derivations, actions of Lie algebras (16W25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (5)

Invariants of Lie superalgebras acting on associative algebras ⋮ On the Jacobson radical of constants of derivations. ⋮ Artinian property of constants of algebraic \(q\)-skew derivations ⋮ Derivations and Skew Polynomial Rings ⋮ GOLDIE DIMENSION OF CONSTANTS OF LOCALLY NILPOTENT SKEW DERIVATIONS

Cites Work

• Unnamed Item
• On derivations of finite index, chain conditions, dimensions and radicals
• Derivations of prime rings
• Actions of solvable Lie algebras on rings with no nilpotent elements
• Constants of Lie algebra actions
• On nilpotent derivations of semiprime rings
• Actions of Commutative Hopf Algebras
• Constants of algebric derivations

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