On classical artinian localizations

DOI10.1080/00927870008827099zbMath0963.16025OpenAlexW2051317269MaRDI QIDQ4508798

Seong-Hoon Rim

Publication date: 25 June 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008827099

zbMATH Keywords

hereditary torsion theoriesleft idealsOre setsdescending chain conditionArtinian localizationslink closed sets of prime ideals

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Artinian rings and modules (associative rings and algebras) (16P20) Ore rings, multiplicative sets, Ore localization (16U20) Localization and associative Noetherian rings (16P50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

• Unnamed Item
• Modules semicocritical with respect to a torsion theory and their applications
• Localization at collections of minimal primes
• Links ore sets, and classical localizations

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