Rings characterized by (pre)envelopes and (pre)covers of their modules∗
From MaRDI portal
Publication:4395721
DOI10.1080/00927879808826172zbMath0908.16003OpenAlexW2096511251MaRDI QIDQ4395721
Publication date: 30 September 1998
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879808826172
direct summands(pre)covers(pre)envelopesdirect products of moduleslocally initially small classes of modules
Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)
Related Items
Simple-Baer Rings and Minannihilator Modules, Precover completing domains and approximations, Relatively extending modules., Precovers, Balance in stable categories, Preenveloping classes of acts, When are definable classes tilting and cotilting classes?, Cotorsion pairs induced by duality pairs, Notes on Divisible and Torsionfree Modules, FI-injective and FI-flat modules., Relative Gorenstein flat modules and dimension, FGT-injective dimensions of \(\Pi\)-coherent rings and almost excellent extension., Modules with cosupport and injective functors., Flat weakly \(FP\)-injective and \(FP\)-injective weakly flat functors, The role of w-tilting modules in relative Gorenstein (co)homology, Pure projective tilting modules, On purities relative to minimal right ideals, Gorenstein weak \(n\)-silting modules and weak \(n\)-star modules, Covers and envelopes related to divisibility, Balance functors and relative tilting modules, Almost free modules and Mittag-Leffler conditions., Reflective and coreflective subcategories, Enochs' conjecture for small precovering classes of modules, Shortening filtrations., Approximations and adjoints in homotopy categories, THE STRUCTURE OF BALANCED BIG COHEN–MACAULAY MODULES OVER COHEN–MACAULAY RINGS, Cotilting modules over commutative Noetherian rings, Global dimension and left derived functors of Hom., Subprojectivity in abelian categories, Covers in finitely accessible categories, Cotorsion Theories Involving Auslander and Bass Classes, Relative singularity categories, Gorenstein objects and silting theory, Flat Discrete Modules Over Profinite Groups, On MF-projective modules, WHEN COTORSION MODULES ARE PURE INJECTIVE, Weak Global Dimension of Coherent Rings, Pure Projective Approximations, Relatively Lifting Modules, Relative Gorenstein dimensions, Covers, precovers, and purity., Σ-Extending Modules, Σ-Lifting Modules, and Proper Classes, Generalizations of \(n\)-tilting and \(n\)-cotilting modules, Absolutelys-Pure Modules and Neat-Flat Modules, Definability and approximations in triangulated categories, Precovering and Preenveloping Ideals, Gorenstein orthogonal classes and Gorenstein weak tilting modules, A characterization of \(n\)-Gorenstein tilting comodules, On rings with envelopes and covers regarding to C3, D3 and flat modules, \(M\)-\(\mathcal A\)-injective (flat) and strongly \(\mathcal B\)-injective (flat) modules.
Cites Work
- Unnamed Item
- Unnamed Item
- Coherence for polynomial rings
- Flat envelopes in commutative rings
- Injective and flat covers, envelopes and resolvents
- Preprojective modules over Artin algebras
- Endomorphism rings of hereditary modules
- On flat and projective envelopes
- Relative coherence and preenvelopes
- Direct-sum representations of injective modules
- Modules Purs—Semi—Simples
- PURE AND FINITELY PRESENTABLE MODULES, DUALITY HOMOMORPHISMS AND THE COHERENCE PROPERTY OF A RING
- Coherent Rings and Fp -Injective Modules