Relative injective covers

DOI10.1080/00927879408825001zbMath0803.16003OpenAlexW2024927659MaRDI QIDQ4295976

J. R. García Rozas, Blass Torrecillas Jover

Publication date: 7 July 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408825001

zbMATH Keywords

injective covershereditary torsion theorycategory of left \(R\)-modules\({\mathcal C}\)-pure sequences\(\mathcal C\)-covers\(\tau\)-injective precovers\(\tau\)-torsionfree \(\tau\)- injective \(R\)-modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Graded rings and modules (associative rings and algebras) (16W50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (26)

Simple-Baer Rings and Minannihilator Modules ⋮ RELATIVE COHERENCE OF RINGS ⋮ Weak Injective and Weak Flat Modules ⋮ Relative copure injective and copure flat modules. ⋮ Covers of modules over a fixed ring ⋮ On Covers and Envelopes in Some Functor Categories ⋮ Preserving and reflecting covers by functors. Applications to graded modules ⋮ Relative extensions of modules and homology groups ⋮ Unnamed Item ⋮ A note on existence of envelopes and covers ⋮ On the existence of covers by injective modules relative to a torsion theory ⋮ Unnamed Item ⋮ GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES ⋮ Homological properties of modules with finite weak injective and weak flat dimensions ⋮ Category of n -weak injective and n -weak flat modules with respect to special super presented modules ⋮ Matlis flat modules ⋮ On max-flat and max-cotorsion modules ⋮ Relative coherent modules and semihereditary modules ⋮ Relative Cotorsion Modules and Relative Flat Modules ⋮ On Relative Injective Modules and Relative Coherent Rings ⋮ Cotorsion modules and relative pure-injectivity ⋮ Absolutelys-Pure Modules and Neat-Flat Modules ⋮ Envelopes and Covers by Modules of FiniteFP-Injective and Flat Dimensions ⋮ Preserving of covers by hopf invariants ⋮ Relative Gorenstein n-weak injective and n-weak flat modules ⋮ \(M\)-\(\mathcal A\)-injective (flat) and strongly \(\mathcal B\)-injective (flat) modules.

Cites Work

• Some constructions over graded rings: Applications
• Injective and flat covers, envelopes and resolvents
• Applications of contravariantly finite subcategories
• Torisonfree injective modules
• Finiteness conditions on filters of left ideals
• Torston free injective covers
• T-torsion-free T-injective covers
• Torsionfree covers and covers by submodules of flat modules¹
• "Anneaux noetheriens a droite entiers sur un sous-anneau de leur centre"
• Inverse polynomials and injective covers
• Infective Envelopes and Inverse Polynomials
• On Divisibility and Injectivity

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