 X-strongly Gorenstein modules

HU Yue, Z Jun, Z Zhibing - Journal of University of Science and …, 2020 - just-cn.ustc.edu.cn
The notion of X-strongly Gorenstein projective module was defined. It was proved that a
module is X-Gorenstein projective if and only if it is a direct summand of some X …

n-strongly Gorenstein Projective and Injective and Flat Modules

X YANG - Chinese Quarterly Journal of Mathematics, 2014 - sxjk.magtechjournal.com
n-strongly Gorenstein Projective and Injective and Flat Modules Page 1 Chin. Quart. J. of Math.
2014, 29 (4): 553—564 n-strongly Gorenstein Projective and Injective and Flat Modules YANG …

[PDF][PDF] X-Gorenstein projective modules

D Bennis, K Ouarghi - Int. Math. Forum, 2010 - researchgate.net
In this paper, we generalize the notion of Gorenstein projective modules. Namely, we
introduce X-Gorenstein projective modules, where X is a class of modules that contains all …

-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 …

n-Strongly Projectively Coresolved Gorenstein Flat Modules

Z Kuichen, Z Cuiping - Journal of Southwest University, 2022 - xbgjxt.swu.edu.cn
The concept of n-strongly projectively coresolved Gorenstein flat modules is introduced, the
equivalent conditions and properties of these modules are given, and the relations among 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 …

n-Strongly Gorenstein Graded Modules

Z Gao, J Peng - Czechoslovak Mathematical Journal, 2019 - Springer
Let R be a graded ring and n⩾ 1 an integer. We introduce and study n-strongly Gorenstein
gr-projective, gr-injective and gr-flat modules. Some examples are given to show that n …

Some results on 2-strongly Gorenstein projective modules and related rings

D Chen, K Hu - 대한수학회보, 2023 - kiss.kstudy.com
In this paper, we give some results on 2-strongly Gorenstein projective modules and related
rings. We first investigate the relationship between strongly Gorenstein projective modules …

Foxby equivalences associated to strongly Gorenstein modules

W Zhang, Z Liu, X Yang - Kodai Mathematical Journal, 2018 - jstage.jst.go.jp
In order to establish the Foxby equivalences associated to strongly Gorenstein modules, we
introduce the notions of strongly WP-Gorenstein, WI-Gorenstein and WF-Gorenstein …

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 …