Local bijective gabriel correspondence and relative fully boundedness in τ-noetherian rings

DOI10.1080/00927879908826631zbMath0931.16013OpenAlexW2035639939MaRDI QIDQ4253133

Paul Kim, Günter Krause

Publication date: 17 February 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826631

zbMATH Keywords

hereditary torsion theoriesassassinatorsstrong second layer conditionKrull dimensions\(\tau\)-closed prime idealsacc on \(\tau\)-closed right idealsindecomposable \(\tau\)-torsionfree injective moduleslocally bijective Gabriel correspondencesright \(\tau\)-Noetherian right fully \(\tau\)-bounded ringstame right modules

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (5)

MTame Modules And Local Gabriel Correspondence ⋮ FBN Modules ⋮ Bijective relative Gabriel correspondence over rings with torsion theoretic Krull dimension ⋮ Torsion theory extensions and finite normalizing extensions ⋮ Torsion theoretic dimensions and relative Gabriel correspondence.

Cites Work

• Unnamed Item
• On fully left bounded left Noetherian rings
• A torsion—theoretic generalization of fully bounded Noetherian rings
• The Local gabriel correspondence
• Les t-anneaux, la condition (H) de gabriel et ses consequences
• On relatively FBN rings

This page was built for publication: Local bijective gabriel correspondence and relative fully boundedness in τ-noetherian rings