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 …

A UNIFIED APPROACH TO VARIOUS GORENSTEIN MODULES

R Zhao, Y Li - Rocky Mountain Journal of Mathematics, 2022 - projecteuclid.org
Abstract Let 𝒱, 𝒲, 𝒴, 𝒳 be four classes of modules. We introduce a notion of (𝒱, 𝒲, 𝒴, 𝒳)-
Gorenstein modules which unifies a number of well-known Gorenstein modules. Under …

-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 …

X-Gorenstein projective and Y-Gorenstein injective modules

F Meng, Q Pan - Hacettepe Journal of Mathematics and Statistics, 2011 - dergipark.org.tr
Let X be a class of right R-modules that contains all projective right R-modules. The notion of
X-Gorenstein projective modules was introduced by D. Bennis and K. Ouarghi (X-Gorenstein …

(X, Y)-Gorenstein projective and injective modules

Q Pan, F Cai - Turkish Journal of Mathematics, 2015 - journals.tubitak.gov.tr
This paper introduces and studies (X, Y)-Gorenstein projective and injective modules, which
are a generalization of Enochs' Gorenstein projective and injective modules, respectively …

W-Gorenstein modules

Y Geng, N Ding - Journal of Algebra, 2011 - Elsevier
Let W be a self-orthogonal class of left R-modules. We introduce and study W-Gorenstein
modules as a common generalization of some known modules such as Gorenstein …

[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 …

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 …

Notes on strongly n-Gorenstein projective, injective and flat modules

W SHANG - Chinese Quarterly Journal of Mathematics, 2012 - sxjk.magtechjournal.com
Notes on Strongly n-Gorenstein Projective, Injective and Flat Modules Page 1 Chin. Quart. J. of
Math. 2012, 27 (3): 389—396 Notes on Strongly n-Gorenstein Projective, Injective and Flat …

-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 …