On the existence of covers by injective modules relative to a torsion theory

DOI10.1080/00927879608825667zbMath0849.16034OpenAlexW2020201493MaRDI QIDQ4880101

J. R. García Rozas, Blass Torrecillas Jover

Publication date: 3 November 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825667

zbMATH Keywords

torsion theoriesinjective modulesleft Noetherian ringscolocalizationsinjective precovers\(\tau\)-injective modules\(\tau\)-projective modules\(\tau\)-injective covers\(\tau\)-semicotorsion modulescentrally splitting TTF theories

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Noetherian rings and modules (associative rings and algebras) (16P40) Torsion theory for commutative rings (13D30)

Related Items

Precovers ⋮ On torsionfree classes which are not precover classes

Cites Work

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• Colocalization and localization in Abelian categories
• Injective and flat covers, envelopes and resolvents
• Finiteness conditions on filters of left ideals
• T-torsion-free T-injective covers
• Relative injective covers