Rings all of whose torsion quasi-injective modules are injective

DOI10.1017/S0017089500005644zbMath0541.16019WikidataQ114117443 ScholiaQ114117443MaRDI QIDQ3328693

Ahsan, Javed, Edgar E. Enochs

Publication date: 1984

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Goldie torsion theoryhereditary torsion theorydirect sum of torsion quasi-injective modulestorsion quasi-injective left R-moduleTQI- rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (4)

Qi-filters and tight modules ⋮ Direct sums of quasi-injective modules, injective covers, and natural classes ⋮ Relative injectivity and chain conditions ⋮ Skew-injective modules

Cites Work

• Unnamed Item
• On hereditary rings and Boyle's conjecture
• Rings over which certain modules are injective
• The singular submodule splits off
• On direct representations of quasi-injectives and quasi-projectives
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• On rings whose simple modules are injective
• Finiteness conditions on filters of left ideals
• Cocritically nice rings and boyle' conjecture
• Hereditary QI-Rings
• Rings Whose Quasi-Injective Modules are Injective
• When are Quasi-Injectives Injective?
• Rings and modules of quotients

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