The second layer condition relative to a torsion radical

DOI10.1080/00927879708825853zbMath0890.16013OpenAlexW2166518006MaRDI QIDQ3123204

Karl A. Kosler

Publication date: 6 July 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708825853

zbMATH Keywords

hereditary torsion theoriesKrull dimensionNoetherian ringssecond layer conditiontorsion radicalsfinite extensionslocalizationsperfect torsion theoriesNoetherian bimodulesbimodule dimensionclassically localizable sets of prime idealsfinite ring extensions

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

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• Localization and ideal theory in Noetherian strongly group-graded rings
• Prime ideals in finite extensions of Noetherian rings
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• Noetherian Full Quotient Rings
• Module extensions and the second layer condition
• Shorter Notes: Artinian Ideals in Noetherian Rings
• Les t-anneaux, la condition (H) de gabriel et ses consequences
• Finitely annihilated modules and orders in artinian rings
• On relatively FBN rings

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