ON RELATIVE INJECTIVITY

DOI10.1080/16073606.1997.9632226zbMath0909.16021OpenAlexW2003598563WikidataQ122586439 ScholiaQ122586439MaRDI QIDQ4400396

D. J. Gray

Publication date: 11 October 1998

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1997.9632226

zbMATH Keywords

torsion theoriesglobal dimensionNoetherian ringsfiniteness conditions\(\tau\)-injective precovers\(\sigma\)-pure injective dimension\(\tau\)-injective coversdirect sums of \(\tau\)-injective modules

Mathematics Subject Classification ID

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

Cites Work

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• Injective and flat covers, envelopes and resolvents
• Direct-sum representations of injective modules
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• On relative injective envelopes
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• PURE-INJECTIVE ENVELOPE OF A COMMUTATIVE RING AND LOCALIZATIONS
• Injective modules and prime ideals
• Neat submodules
• Absolute Purity
• A Note on Absolutely Pure Modules
• Divisible modules codivisible modules and quasi-divisible modules
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• ON RELATIVE FLATNESS
• THE σ-PURE INJECTIVE BULL, FOR A TORSION RADICAL, σ
• Character modules, dimension and purity
• On finitely injective modules
• Rings and modules of quotients
• Rings and modules of quotients

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