Injective hulls of flat modules

DOI10.1080/00927878008822557zbMath0445.16014OpenAlexW2077625325WikidataQ105796083 ScholiaQ105796083MaRDI QIDQ3889220

Thomas J. Cheatham, Edgar E. Enochs

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00927878008822557

zbMATH Keywords

Goldie dimensioninjective hullsessential extensionhereditary torsion theoryflat left R-modulesnonsingular left R-modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological dimension and commutative rings (13D05) Quasi-Frobenius rings (16L60) Commutative Noetherian rings and modules (13E05) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80) Homological dimension in associative algebras (16E10)

Related Items

On the rings whose injective hulls are flat, New characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture, Covers by flat modules and submodules of flat modules, Tensor and torsion products of injective modules, Pure-injectivity of Tensor Products of Modules, Injective envelopes and (Gorenstein) flat covers., Torsionfree covers and covers by submodules of flat modules¹, Σ-Extending Modules, Σ-Lifting Modules, and Proper Classes, Tensor product of C-injective modules, Strongly Max-Flat Modules, A homological view on rings with flat injective hulls

Cites Work

• Serial rings and finitely presented modules
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