Modules TTK-critiques et notions connexes

DOI10.1080/00927878508823173zbMath0551.16007OpenAlexW2092634599MaRDI QIDQ3344327

Jacques Raynaud

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00927878508823173

zbMATH Keywords

Krull-dimensionJordan-Hölder theoremstable Noetherian ringsTTK-basic seriesTTK-dimensionTTK-socle series\(\alpha \) -TTK-critical modulesTTK- basic submodules

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (2)

When does length equal dimension? ⋮ Critical series over stable noetherian rings with applications to prime principal right ideal rings

Cites Work

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• Injective modules over Noetherian rings
• A Krull-like dimension for noncommutative rings
• Elements of noncommutative arithmetic. I
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• Semi-stability and topologies onR-_Sp
• Quelques proprietes des localisations
• Rings and modules of quotients

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