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 …
Strongly Gorenstein graded modules
L Mao - Frontiers of Mathematics in China, 2017 - Springer
Strongly Gorenstein graded modules Page 1 Front. Math. China 2017, 12(1): 157–176 DOI
10.1007/s11464-016-0595-y Strongly Gorenstein graded modules Lixin MAO Department of …
10.1007/s11464-016-0595-y Strongly Gorenstein graded modules Lixin MAO Department of …
On Gorenstein FP-Injective and Gorenstein Flat Complexes
D Xin, J Chen, X Zhang - Communications in Algebra, 2013 - Taylor & Francis
In this article, the concept of Gorenstein FP-injective modules and some related known
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …
Coherent rings and Gorenstein flat character modules
Y Yang, X Yan, G Dai - Communications in Algebra, 2021 - Taylor & Francis
A module is called a Gorenstein flat character module if its character module is Gorenstein
flat. We give some characterizations of Gorenstein flat character modules and explore the …
flat. We give some characterizations of Gorenstein flat character modules and explore the …
Gorenstein FC-projective modules
Y Wang, D Zhou - Journal of Algebra and Its Applications, 2020 - World Scientific
In this paper, we investigate Gorenstein FC-projective modules and Gorenstein FC-
projective dimensions, and characterize rings over which every module is Gorenstein FC …
projective dimensions, and characterize rings over which every module is Gorenstein FC …
Some Remarks on Gorenstein Projective Precovers
V Becerril - arXiv preprint arXiv:2403.10727, 2024 - arxiv.org
In this paper, we prove that for a $ n $-perfect ring $ R $ various classes of relative
Gorenstein projective $ R $-modules are special precovering, among them including the …
Gorenstein projective $ R $-modules are special precovering, among them including the …
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) …
On strongly Gorenstein FP-injective modules
Z Gao - Communications in Algebra, 2013 - Taylor & Francis
This article continues to investigate a particular case of Gorenstein FP-injective modules,
called strongly Gorenstein FP-injective modules. Some examples are given to show that …
called strongly Gorenstein FP-injective modules. Some examples are given to show that …
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 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 …