Foxby equivalence over associative rings.

From MaRDI portal
Publication:928478

DOI10.1215/kjm/1250692289zbMath1154.16007arXivmath/0611838OpenAlexW1517951214MaRDI QIDQ928478

Diana White, Henrik Holm

Publication date: 18 June 2008

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611838



Related Items

Unnamed Item, Unnamed Item, Some characterizations of Auslander and Bass classes, Homological dimensions relative to preresolving subcategories. II, Pseudo-dualizing complexes of bicomodules and pairs of t-structures, GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS, The adjoint cotranspose of modules with respect to subcategories, Relative tor functors for level modules with respect to a semidualizing bimodule, Modules of finite homological dimension with respect to a semidualizing module, Unnamed Item, Semidualizing bimodules and related Gorenstein homological dimensions, Transfer of Gorenstein dimensions along ring homomorphisms, Relations between semidualizing complexes, Comparison of relative cohomology theories with respect to semidualizing modules, Relative weak injective and weak flat modules with respect to a semidualizing module, FPn-injective and FPn-flat modules with respect to a semidualizing bimodule, Cotorsion pairs associated with Auslander categories, Resolving resolution dimensions, Relative Gorenstein flat modules and dimension, Foxby equivalences associated to Gorenstein categoriesš’¢(š’³,š’“,š’µ), The role of w-tilting modules in relative Gorenstein (co)homology, The transpose of modules relative to subcategories, Ding projective modules with respect to a semidualizing bimodule., Tate cohomology with respect to semidualizing modules, A unified approach to various Gorenstein modules, The balance of relative Ext groups defined by semidualizing modules, Unnamed Item, Quasidualizing modules, Relative Gorenstein global dimension, AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules, Balance for relative cohomology of complexes, Relative grade and relative Gorenstein dimension with respect to a semidualizing module, Gorenstein projective dimension with respect to a semidualizing module, Cohen-Macaulay Noetherian algebras, Top local cohomology modules and Gorenstein injectivity with respect to a semidualizing module, Relative transpose and its dual with respect to a bimodule, Relative cohomology and generalized Tate cohomology, \(\mathcal W\)-Gorenstein modules, Vanishing of stable homology with respect to a semidualizing module, A new method to construct model structures from left Frobenius pairs in extriangulated categories, On the \(C\)-flatness and injectivity of character modules, Proper resolutions and Gorenstein categories, Syzygy and torsionless modules with respect to a semidualizing module, Dual of bass numbers and dualizing modules, \(\mathcal T_C\)-Gorenstein projective, \(\mathcal L_C\)-Gorenstein injective and \(\mathcal H_C\)-Gorenstein flat modules, Finitely projective modules with respect to a semidualizing module, Characterizing local rings via perfect and coperfect modules, GORENSTEIN PROJECTIVE DIMENSIONS OF COMPLEXES UNDER BASE CHANGE WITH RESPECT TO A SEMIDUALIZING MODULE, New Characterizations of Dualizing Modules, SG_C-Projective, Injective and Flat modules, $\V\W$-Gorenstein categories, $VW$-Gorenstein complexes, Tate homology of modules based on Tate \(\mathcal {F}_C\)-resolutions, Finitistic dimension and orthogonal classes of Gorenstein projective modules with respect to a semidualizing module, Gorenstein injective filtrations over Cohen-Macaulay rings with dualizing modules, EMBEDDING MODULES OF FINITE HOMOLOGICAL DIMENSION, Duality pairs induced by Gorenstein projective modules with respect to semidualizing modules, Relative copure modules and Foxby equivalence, Coreflexive modules and semidualizing modules with finite projective dimension, \(V\)-Gorenstein injective modules preenvelopes and related dimension, \(\mathcal{W}\)-Gorenstein \(N\)-complexes, Homological invariants related to semidualizing bimodules, Relative stable (co)homology, Relative tor functors with respect to a semidualizing module, Semidualizing and tilting adjoint pairs, applications to comodules., Unnamed Item, Unnamed Item, Relative Gorenstein dimensions, Semidualizing DG modules over tensor products, Some algebraic and homological properties of a family of quotients of the Rees algebra, Some results on $G_C$-flat dimension of modules, Cotorsion dimensions relative to semidualizing modules, Relative derived categories with respect to subcategories, DC-projective dimensions, Foxby equivalence and SDC-projective modules, Two filtration results for modules with applications to the Auslander condition, C-Gorenstein projective, injective and flat modules, Unnamed Item, The homological theory of quasi-resolving subcategories, A categorical approach to linkage, Strongly \((\mathscr{X},\mathscr{Y},\mathscr{Z})\)-Gorenstein modules and applications, \( \infty \)-tilting theory, Duality pairs induced by one-sided Gorenstein subcategories, Duality pairs induced by Auslander and Bass classes, Relative tilting modules with respect to a semidualizing module, Generalized tilting modules over ring extension, Envelopes, covers and semidualizing modules, Wakamatsu tilting modules over ring extension, Buchweitz’s equivalences for Gorenstein flat modules with respect to semidualizing modules, A generalization of the Auslander transpose and the generalized Gorenstein dimension, Pseudo-dualizing complexes and pseudo-derived categories, Relative torsionfree modules with respect to a faithfully balanced bimodule, Left orthogonal classes of semidualizing bimodules, Cograde conditions and cotorsion pairs, SEMIDUALIZING MODULES AND RELATED MODULES, Characterizations of some rings with C-projective, C-(FP)-injective and C-flat modules, WEAK AB-CONTEXT FOR FP-INJECTIVE MODULES WITH RESPECT TO SEMIDUALIZING MODULES, Homological Dimensions with Respect to a Semidualizing Module and Tensor Products of Algebras, Gorenstein Flat Complexes with Respect to a Semidualizing Module, Totally reflexive modules with respect to a semidualizing bimodule, On relative counterpart of Auslander’s conditions, Stability of Gorenstein flat categories with respect to a semidualizing module