Gorenstein derived functors from special rings to arbitrary rings
T Zhao - arXiv preprint arXiv:1405.3375, 2014 - arxiv.org
arXiv:1405.3375v2 [math.RA] 7 May 2015 Page 1 arXiv:1405.3375v2 [math.RA] 7 May 2015
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …
Gorenstein projective, injective and flat modules over trivial ring extensions
L Mao - arXiv preprint arXiv:2305.15656, 2023 - arxiv.org
We introduce the concepts of generalized compatible and cocompatible bimodules in order
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …
-Strongly Gorenstein Projective, Injective and Flat modules
G Zhao, Z Huang - arXiv preprint arXiv:0904.3045, 2009 - arxiv.org
In this paper, we study the relation between $ m $-strongly Gorenstein projective (resp.
injective) modules and $ n $-strongly Gorenstein projective (resp. injective) modules …
injective) modules and $ n $-strongly Gorenstein projective (resp. injective) modules …
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 …
n-Strongly Gorenstein Projective, Injective and Flat Modules
G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …
Gorenstein Homological Properties and Quasi-Frobenius Bimodules
C Huang, Y Sun, Y Zhou - Bulletin of the Iranian Mathematical Society, 2022 - Springer
We establish relations of Gorenstein homological properties of modules and rings linked by
a fixed quasi-Frobenius bimodule. Particularly, let R ⊂ SR⊂ S be a strongly separable …
a fixed quasi-Frobenius bimodule. Particularly, let R ⊂ SR⊂ S be a strongly separable …
[PDF][PDF] Gorenstein homological properties from coherent rings to arbitary rings
TW Zhao, YG Xu - arXiv preprint arXiv:1405.3375, 2014 - Citeseer
Throughout R is an associative ring with identity and all modules are unitary. Unless stated
otherwise, an R-module will be understood to be a left R-module. As usual, pdR (M) and idR …
otherwise, an R-module will be understood to be a left R-module. As usual, pdR (M) and idR …
Relative homological rings and modules
P Pourghobadian, K Divaani-Aazar… - arXiv preprint arXiv …, 2022 - arxiv.org
The study of rings and modules with homological criteria is a cornerstone of commutative
algebra. Let $ R $ be a commutative Noetherian ring with identity (not necessarily local) and …
algebra. Let $ R $ be a commutative Noetherian ring with identity (not necessarily local) and …
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, injective and flat modules
Z Liu, X Yang - Journal of the Australian Mathematical Society, 2009 - cambridge.org
In basic homological algebra, projective, injective and flat modules play an important and
fundamental role. In this paper, we discuss some properties of Gorenstein projective …
fundamental role. In this paper, we discuss some properties of Gorenstein projective …