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 modules which unifies a number of well-known Gorenstein modules. Under …
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 …
introduce the notions of strongly WP-Gorenstein, WI-Gorenstein and WF-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 …
are a generalization of Enochs' Gorenstein projective and injective modules, respectively …
[PDF][PDF] X-Gorenstein projective modules
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 …
introduce X-Gorenstein projective modules, where X is a class of modules that contains all …
Gorenstein star modules and Gorenstein tilting modules
P Zhang - Czechoslovak Mathematical Journal, 2021 - Springer
We introduce the notion of Gorenstein star modules and obtain some properties and a
characterization of them. We mainly give the relationship between n-Gorenstein star …
characterization of them. We mainly give the relationship between n-Gorenstein star …
[PDF][PDF] Gorenstein modules under Frobenius extensions
F Kong, D Wu - Bulletin of the Korean Mathematical Society, 2020 - academia.edu
Let R⊂ S be a Frobenius extension of rings and M a left S-module and let X be a class of left
R-modules and Y a class of left S-modules. Under some conditions it is proven that M is a Y …
R-modules and Y a class of left S-modules. Under some conditions it is proven that M is a Y …
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-Gorenstein projective modules was introduced by D. Bennis and K. Ouarghi (X-Gorenstein …
\boldmath-Gorenstein complexes
Y Li, R Zhao - 대한수학회지, 2024 - kiss.kstudy.com
Let $\mathcal {V} $, $\mathcal {W} $, $\mathcal {Y} $, $\mathcal {X} $ be four classes of left $
R $-modules. The notion of $(\mathcal {V, W, Y, X}) $-Gorenstein $ R $-complexes is …
R $-modules. The notion of $(\mathcal {V, W, Y, X}) $-Gorenstein $ R $-complexes is …
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 …
-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 …