On derivations of finite index, chain conditions, dimensions and radicals

DOI10.1007/BF02764671zbMath0626.16018MaRDI QIDQ580484

Piotr Grzeszczuk

Publication date: 1987

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

zbMATH Keywords

indexlengthKrull dimensionchain conditionsOre extensioncompletely reducibleNoetherianArtinianGabriel dimensionmodule with derivationsimple Artinian ringuniform dimension

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (1)

Goldie conditions for constants of algebraic derivations of semiprime algebras

Cites Work

• On Goldie and dual Goldie dimensions
• The Gabriel dimension of a module
• Krull dimension
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