DOI10.1007/BFb0094173zbMath0860.16002OpenAlexW1565560311MaRDI QIDQ1815560
Jin Zhong Xu
Publication date: 14 November 1996
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bfb0094173
Some characterizations of Auslander and Bass classes,
Semi-dualizing modules and related Gorenstein homological dimensions,
IFP-injective, IFP-flat modules and localizations.,
Strongly torsion free, copure flat and Matlis reflexive modules,
Covering classes and 1-tilting cotorsion pairs over commutative rings,
On the category of modules of Gorenstein dimension zero. II,
On strongly flat modules over integral domains,
On the cogeneration of cotorsion pairs,
Special precovering classes in comma categories,
Some properties of precovers and covers.,
Relatively extending modules.,
Cotorsion pairs induced by duality pairs,
Some criteria of cyclically pure injective modules,
Flat cotorsion modules over Noether algebras,
Remarks on modules approximated by \(G\)-projective modules,
On preenvelopes and precovers by ideals of morphisms of modules,
Almost perfect commutative rings,
Weak injective covers and dimension of modules,
Relative copure injective and copure flat modules.,
Covers and directed colimits.,
Approximations and Mittag-Leffler conditions the applications,
Gorenstein homological dimensions and Auslander categories,
Cosupport computations for finitely generated modules over commutative noetherian rings,
Resolving resolution dimensions,
FI-injective and FI-flat modules.,
FGT-injective dimensions of \(\Pi\)-coherent rings and almost excellent extension.,
Model-theoretic aspects of \(\Sigma\)-cotorsion modules,
Modules with cosupport and injective functors.,
Some remarks on global dimensions for cotorsion pairs.,
Strongly Gorenstein projective, injective, and flat modules,
Relative extensions of modules and homology groups,
Modules coinvariant under the idempotent endomorphisms of their covers,
On the restricted projective dimension of complexes,
Flat endofinite modules, prime ideals, and duality.,
Colocalization and cotilting for commutative noetherian rings,
AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules,
On objects with a semilocal endomorphism rings in finitely accessible additive categories,
The structure of preenvelopes with respect to maximal Cohen-Macaulay modules,
Gorenstein \(FI\)-flat dimension and relative homology,
The Schröder-Bernstein problem for modules,
\(V\)-Gorenstein projective, injective and flat modules.,
Quillen equivalences for stable categories,
Precovers and preenvelopes under change of rings.,
A model structure approach to the Tate-Vogel cohomology,
Indecomposable modules over pure semisimple hereditary rings.,
Excellent extensions and global cotorsion dimensions.,
On projectivity in locally presentable categories.,
A characterization of \(n\)-cotilting and \(n\)-tilting modules.,
On certain homological invariants of groups.,
Finite Gorenstein representation type implies simple singularity,
Balance with flat objects,
Tilting for regular rings of Krull dimension two,
Gorenstein homological dimensions.,
Higher phantom morphisms with respect to a subfunctor of ext,
On \(n\)-weak cotorsion modules,
Cotorsion classes in higher homological algebra,
A characterisation of enveloping 1-tilting classes over commutative rings,
Duality pairs induced by Gorenstein projective modules with respect to semidualizing modules,
Derived functors of Hom relative to \(n\)-flat covers.,
Some results on \(n\)-coherent rings, \(n\)-hereditary rings and \(n\)-regular rings,
Gorenstein \(FI\)-flat dimension and Tate homology,
Homological properties of modules with finite weak injective and weak flat dimensions,
Characterizations of Ding injective complexes,
Relative Ext groups, resolutions, and Schanuel classes.,
Cartesian modules over representations of small categories,
Strongly Gorenstein projective, injective and flat modules.,
On covers of cyclic acts over monoids.,
Uniqueness of uniform decompositions in exact categories,
\(S\)-almost perfect commutative rings,
On global \(\mathscr{C}\)-dimensions,
Injective envelopes and (Gorenstein) flat covers.,
On weak-injective modules over integral domains,
On envelopes and covers in the category of short exact sequences,
\(\omega\)-Gorenstein injective modules and dimensions.,
Sigma-cotorsion rings.,
Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras.,
Relative homological algebra in the category of quasi-coherent sheaves.,
Relative \(FI\)-injective and \(FI\)-flat modules.,
Localization functors and cosupport in derived categories of commutative Noetherian rings,
On covers of acts over monoids with condition \((PF)\) and envelopes of \(S\)-acts, Gorenstein injective, Gorenstein flat modules and the section functor, Matlis flat modules, Contravariant functors on the category of finitely presented modules., \(\mathcal{P}_1\)-covers over commutative rings, Test sets for factorization properties of modules, On singly flat and singly injective modules, On max-flat and max-cotorsion modules, Relatively divisible and relatively flat objects in exact categories: applications, The homological theory of quasi-resolving subcategories, A uniqueness theorem in a finitely accessible additive category, Projective covers over local rings, Homology theories and Gorenstein dimensions for complexes, Flat covers of complexes, Free covers and minimal sets of generators, Characterization of modules of finite projective dimension via Frobenius functors, Covers and envelopes over gr-Gorenstein rings, Covers induced by Ext, Flat covers and factorizations, The acyclicity of the Frobenius functor for modules of finite flat dimension, Tilting modules over small Dedekind domains, ON THE MINIMAL FLAT RESOLUTIONS OF MODULES, Unnamed Item, Precovers, On the rings whose injective hulls are flat, WHEN ARE PURE-INJECTIVE ENVELOPES OF FLAT MODULES FLAT?, Gorenstein injective modules and local cohomology, The flat model structure on đđĄ(đ), Gorenstein flat modules relative to injectively resolving subcategories, $n$-${\rm gr}$-coherent rings and Gorenstein graded modules, Unnamed Item, Flat Strong ÎŽ-covers of Modules, Rings satisfying every finitely generated module has a Gorenstein projective (pre)envelope, Unnamed Item, Unnamed Item, On Covers and Envelopes in Some Functor Categories, Lattice Properties of Torsion Theories, The balance of relative Ext groups defined by semidualizing modules, FLAT RING EPIMORPHISMS OF COUNTABLE TYPE, Strong exchange rings, Topologically semiperfect topological rings, $S$-cotorsion modules and dimensions, Five theorems on Gorenstein global dimensions, PURE-INJECTIVITY FROM A DIFFERENT PERSPECTIVE, A Survey on Algebraic and Homological Properties of Amalgamated Algebras of Commutative Rings, Strongly \(\mathcal{E}\)-Gorenstein injective and flat modules, On CÂŻ-extensions and balanced pairs, THE STRUCTURE OF BALANCED BIG COHENâMACAULAY MODULES OVER COHENâMACAULAY RINGS, GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES, The dual Schröder-Bernstein problem for modules, On the Gorenstein dimensions over local homomorphisms, Family of quotients of some special rings, New Characterizations of Dualizing Modules, HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS, PURE-INJECTIVES RELATIVE TO A COTORSION PAIR: APPLICATIONS, On GI-Injective Modules, SOME RESULTS ON TORSIONFREE MODULES, NOTES ON STABILITY OF GORENSTEIN CATEGORIES, Exact categories and infinite tilting, Purity and approximation with respect to a class of morphisms, Resolving resolution dimension of recollements of abelian categories, WEAK GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES, Category of n -weak injective and n -weak flat modules with respect to special super presented modules, On $\mathscr{C}$-coherent rings, strongly $\mathscr{C}$-coherent rings and $\mathscr{C}$-semihereditary rings, Some Aspects of StronglyP-projective Modules and Homological Dimensions, Relatively divisible and relatively flat objects in exact categories, Brown representability and flat covers, On covers, Relative purity over noetherian rings, Generalized Morphic Rings and Their Applications, All tilting modules are of finite type, Unnamed Item, A note on Gorenstein projective modules, Envelopes and covers by modules of finite injective and projective dimensions, Weak Global Dimension of Coherent Rings, NOTES ON COTORSION MODULES, Flat Covers and Flat Representations of Quivers, Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications, Cotilting modules are pure-injective, On slightly P-coherent rings, Canonical filtrations of Gorenstein injective modules, PURE CLOSED SUBOBJECTS AND PURE QUOTIENT GOLDIE DIMENSION, On Divisible and Torsionfree Modules, Minimal Flat Resolutions of Artinian Modules, Harmanci Injectivity of Modules, Pure-injectivity in the category of Gorenstein projective modules, Another Gorenstein analogue of flat modules, On pure Goldie dimensions, Orthogonal Dimensions and Ring Extensions, Relative Cotorsion Modules and Relative Flat Modules, â-Injective Hulls of Modules, Envelopes, covers and semidualizing modules, Coherent rings and absolutely pure precovers, On superstability in the class of flat modules and perfect rings, Some remarks on locally perfect rings, Matrix factorizations for self-orthogonal categories of modules, Relative Projective Modules and Relative Injective Modules, On Relative Injective Modules and Relative Coherent Rings, A Zariski-local notion of F-total acyclicity for complexes of sheaves, GENERALIZED QUASI-COHERENT SHEAVES, PURE-INJECTIVE ENVELOPES, Ziegler partial morphisms in additive exact categories, Absolutelys-Pure Modules and Neat-Flat Modules, GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES, Coherent rings and Gorenstein flat character modules, RINGS WITH VARIATIONS OF FLAT COVERS, Precovering and Preenveloping Ideals, Are covering (enveloping) morphisms minimal?, Preserving of covers by hopf invariants, On rings with envelopes and covers regarding to C3, D3 and flat modules, Relative Gorenstein n-weak injective and n-weak flat modules, COTORSION DIMENSIONS OVER GROUP RINGS, IFP-Flat Modules andIFP-Injective Modules, Covers and Envelopes of Complexes, On Copure Projective Modules and Copure Projective Dimensions, Flat Covers in the Category of Quasi-coherent Sheaves Over the Projective Line, COHERENT RINGS AND GORENSTEIN YOKE MODULES, Complexes of FP-injective Modules, Onn-FI-Injective andn-FI-Flat Modules, RINGS OVER WHICH FLAT COVERS OF SIMPLE MODULES ARE PROJECTIVE, RELATIVE COHERENCE OF RINGS, When Does Every Simple Module Have a Projective Envelope?, Ω-Gorenstein Projective, Injective and Flat Modules, On Covers and Envelopes under Hom and Tensor Functors, On the Pure-injectivity Profile of a Ring, SOME COVERS AND ENVELOPES IN THE CHAIN COMPLEX CATEGORY OF R-MODULES, Gorenstein Flat Covers over GF-Closed Rings, Coherent Rings and Gorenstein FP-Injective Modules, Weak precovering of acts over semigroups, On the finiteness of Gorenstein homological dimensions, When are definable classes tilting and cotilting classes?, Unnamed Item, G-Gorenstein Modules, The phantom cover of a module., Baer cotorsion pairs., Gorenstein flat covers and Gorenstein cotorsion modules over integral group rings., Gorenstein n-flat modules and their covers, On the stable homology of modules, Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories, Cotorsion pairs associated with Auslander categories, (n, d)-Injective covers, n-coherent rings, and (n, d)-rings, Flat weakly \(FP\)-injective and \(FP\)-injective weakly flat functors, The role of w-tilting modules in relative Gorenstein (co)homology, Auslander condition and Gorenstein rings, Cotilting with balanced big Cohen-Macaulay modules, Reflective and coreflective subcategories, Minimal semi-flat-cotorsion replacements and cosupport, Covering classes, strongly flat modules, and completions, On adjoint resolutions and dimensions of modules, On Auslander-type conditions of modules, Locally type \(\mathrm{FP}_n\) and \(n\)-coherent categories, Ideal approximation theory, Proper resolutions and Gorenstein categories, Rings Over Which Flat Covers of Finitely Generated Modules are Projective, Semi-dualizing complexes and their Auslander categories, Infinitely generated tilting modules of finite projective dimension, n-IFP-flat modules and n-IFP-injective modules, Locally torsion-free quasi-coherent sheaves, Dual of bass numbers and dualizing modules, Covering ideals of morphisms and module representations of the quiver \(\mathbb A_2\)., On Gorenstein injective discrete modules over profinite groups., GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES, Global dimension and left derived functors of Hom., Relative weak derived functors, Homotopy categories of totally acyclic complexes with applications to the flatâcotorsion theory, Covers and direct limits: a contramodule-based approach, Covers in finitely accessible categories, n-Matlis cotorsion modules and n-matlis domains, DIVISIBLE ENVELOPES OVER GORENSTEIN RINGS OF KRULL DIMENSION AT MOST ONE, S-TORSION FREE COVERS OF MODULES, FLABBY ENVELOPES OF SHEAVES, Restricted projective, injective and flat complexes, Quillen's small object argument in the category of firm modules., ON KRULLâSCHMIDT FINITELY ACCESSIBLE CATEGORIES, Hereditary rings with countably generated cotorsion envelope., BAER ENDOMORPHISM RINGS AND ENVELOPES, Splitting torsion pairs over pure semisimple rings., WHEN COTORSION MODULES ARE PURE INJECTIVE, Flat covers and cotorsion envelopes of sheaves, Cotorsion pairs in categories of quiver representations, Pure Projective Approximations, Envelopes and Covers by Modules of FiniteFP-Injective Dimensions, Injective stabilization of additive functors. II. (Co)torsion and the Auslander-Gruson-Jensen functor, Abelian groups which have trivial absolute coGalois group, Cotorsion dimensions relative to semidualizing modules, Powers of the phantom ideal, Cartan-Eilenberg projective, injective and flat complexes, On torsionfree classes which are not precover classes, On Strongly Copure Flat Modules and Copure Flat Dimensions, When Are Covers Relative to Two Classes Isomorphic, The flat model structure on complexes of sheaves, Cotorsion pairs and approximation classes over formal triangular matrix rings, Some conditions for the existence of Gorenstein projective covers and preenvelopes, Duality pairs induced by one-sided Gorenstein subcategories, J-COHERENT RINGS, ON n-PERFECT RINGS AND COTORSION DIMENSION, STRONGLY GORENSTEIN FLAT MODULES, Strongly Max-Flat Modules, Almost-Perfect Rings and Modules, Cotorsion modules and relative pure-injectivity, On Strongly Gorenstein FP-Injective Modules, Kaplansky classes, On the category of modules of Gorenstein dimension zero, Min-Flat Modules and Min-Coherent Rings, Modules invariant under automorphisms of their covers and envelopes., On pairs of free modules over a Dedekind domain, Totally acyclic complexes and locally Gorenstein rings, Change of ring and torsion-theoretic injectivity, Notes on Gorenstein cotorsion modules., Envelopes and Covers by Modules of FiniteFP-Injective and Flat Dimensions, \(n\)-copure projective modules., A homological view on rings with flat injective hulls