[HTML][HTML] Proper resolutions and Gorenstein categories
Z Huang - Journal of Algebra, 2013 - Elsevier
Let A be an abelian category and C an additive full subcategory of A. We provide a method
to construct a proper C-resolution (resp. coproper C-coresolution) of one term in a short …
to construct a proper C-resolution (resp. coproper C-coresolution) of one term in a short …
[HTML][HTML] From CM-finite to CM-free
F Kong, P Zhang - Journal of Pure and Applied Algebra, 2016 - Elsevier
We prove a generalization of the stability for Gorenstein categories in [36] and [24]; and
show that the relative Auslander algebra of a CM-finite algebra is CM-free. On the other …
show that the relative Auslander algebra of a CM-finite algebra is CM-free. On the other …
The homological theory of contravariantly finite subcategories: Auslander-Buchweitz contexts, Gorenstein categories and (co-) stabilization
A Beligiannis - Communications in Algebra, 2000 - Taylor & Francis
Let C be an abelian or exact category with enough projectives and let P be the full
subcategory of projective objects of C. We consider the stable category C/P modulo …
subcategory of projective objects of C. We consider the stable category C/P modulo …
Stable functors of derived equivalences and Gorenstein projective modules
From certain triangle functors, called nonnegative functors, between the bounded derived
categories of abelian categories with enough projective objects, we introduce their stable …
categories of abelian categories with enough projective objects, we introduce their stable …
[HTML][HTML] Gorenstein-projective modules and symmetric recollements
P Zhang - Journal of Algebra, 2013 - Elsevier
We introduce compatible bimodules. If M is a compatible A–B-bimodule, then the Gorenstein-
projective modules over algebra Λ=(AM0B) are explicitly described; and if Λ is Gorenstein …
projective modules over algebra Λ=(AM0B) are explicitly described; and if Λ is Gorenstein …
Stability of Gorenstein flat modules
S Bouchiba, M Khaloui - Glasgow Mathematical Journal, 2012 - cambridge.org
Sather-Wagstaff et al. proved in [8](S. Sather-Wagsta, T. Sharif and D. White, Stability of
Gorenstein categories, J. Lond. Math. Soc.(2), 77 (2)(2008), 481–502) that iterating the …
Gorenstein categories, J. Lond. Math. Soc.(2), 77 (2)(2008), 481–502) that iterating the …
Stability of Gorenstein flat categories
G Yang, Z Liu - Glasgow Mathematical Journal, 2012 - cambridge.org
A left R-module M is called two-degree Gorenstein flat if there exists an exact sequence of
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …
Singularity categories and singular equivalences for resolving subcategories
H Matsui, R Takahashi - Mathematische Zeitschrift, 2017 - Springer
Let XX be a resolving subcategory of an abelian category. In this paper we investigate the
singularity category D_ sg (X)= D^ b (mod\, X)/K^ b (proj (mod\, X)) D sg (X ̲)= D b (mod X …
singularity category D_ sg (X)= D^ b (mod\, X)/K^ b (proj (mod\, X)) D sg (X ̲)= D b (mod X …
Stability of Gorenstein categories
KA Sather-Wagstaff, T Sharif… - Journal of the London …, 2008 - Wiley Online Library
We show that an iteration of the procedure used to define the Gorenstein projective modules
over a commutative ring R yields exactly the Gorenstein projective modules. Specifically …
over a commutative ring R yields exactly the Gorenstein projective modules. Specifically …
AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
S Sather-Wagstaff, T Sharif, D White - Algebras and Representation …, 2011 - Springer
We investigate the properties of categories of GC-flat R-modules where C is a semidualizing
module over a commutative noetherian ring R. We prove that the category of all GC-flat R …
module over a commutative noetherian ring R. We prove that the category of all GC-flat R …