On Gorenstein injective and projective comodules
QX Pan, Q Li - Mathematical Notes, 2013 - Springer
Gorenstein injective, projective and coflat comodules were introduced and studied by
Asensio and Enochs et al. We further investigate these comodules and introduce n …
Asensio and Enochs et al. We further investigate these comodules and introduce n …
A generalization of strongly Gorenstein projective modules
D Bennis, N Mahdou - Journal of Algebra and its Applications, 2009 - World Scientific
This paper generalize the idea of the authors in J. Pure Appl. Algebra 210 (2007) 437–445.
Namely, we define and study a particular case of Gorenstein projective modules. We …
Namely, we define and study a particular case of Gorenstein projective modules. We …
Gorenstein projective and flat complexes over noetherian rings
E Enochs, S Estrada, A Iacob - Mathematische Nachrichten, 2012 - Wiley Online Library
We give sufficient conditions on a class of R‐modules article amssymb empty C in order for
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …
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 …
FPn-Injective, FPn-Flat Covers and Preenvelopes, and Gorenstein AC-Flat Covers
D Bravo, S Estrada, A Iacob - Algebra Colloquium, 2018 - World Scientific
We prove that, for any n≥ 2, the classes of FP n-injective modules and of FP n-flat modules
are both covering and preenveloping over any ring R. This includes the case of FP∞ …
are both covering and preenveloping over any ring R. This includes the case of FP∞ …
Strongly Gorenstein flat and Gorenstein FP-injective modules
C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
Coherent rings with finite self-FP-injective dimension
N Ding, J Chen - Communications in algebra, 1996 - Taylor & Francis
Coherent rings with finite self-FP-injective dimension Page 1 COMMUNICATIONS IN ALGEBRA,
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
Remarks on Gorenstein weak injective and weak flat modules
T Zhao, Y Xu - Algebra Colloquium, 2020 - World Scientific
In this paper, we introduce Gorenstein weak injective and weak flat modules in terms of,
respectively, weak injective and weak flat modules; the classes of Gorenstein weak injective …
respectively, weak injective and weak flat modules; the classes of Gorenstein weak injective …
-Gorenstein projective,-Gorenstein injective and-Gorenstein flat modules
Z Zhang, X Zhu, X Yan - Chinese Annals of Mathematics, Series B, 2014 - Springer
The authors introduce and investigate the T_C-Gorenstein projective, L_C-Gorenstein
injective and H_C-Gorenstein flat modules with respect to a semidualizing module C which …
injective and H_C-Gorenstein flat modules with respect to a semidualizing module C which …
Gorenstein injective and projective complexes
EE Enochs, JR Garcí Rozas - Communications in Algebra, 1998 - Taylor & Francis
In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …