(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 …

[PDF][PDF] RELATIVE RIGID MODULES AND GORENSTEIN SILTING MODULES

NAN GAO, CHIH ZHANG, J MA - arXiv preprint arXiv:2110.12161, 2021 - academia.edu
In the paper, we introduce the relative rigid module for an algebra of finite CM-type, and the
Gorenstein silting module for a Noetherian ring with the property that the category of …

Gorenstein modules and dualizing modules

Y Li - Communications in Algebra, 2015 - Taylor & Francis
Full article: Gorenstein Modules and Dualizing Modules Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

Tilting modules and Gorenstein rings

LA Hügel, D Herbera, J Trlifaj - 2006 - degruyter.com
We apply tilting theory to study modules of finite projective dimension. We introduce the
notion of finite and cofinite type for tilting and cotilting classes of modules, respectively …

[引用][C] Generalized Gorenstein modules with respect to duality pairs over triangular matrix rings

R Zhu, H Liu - International Journal of Algebra and Computation, 2024 - World Scientific
Let A and B be rings and T=(AM 0 B) with M an AB-bimodule. We first construct a semi-
complete duality pair DT of over T using duality pairs over A and B respectively. Then we …

Gorenstein flat modules relative to injectively resolving subcategories

Z Gao, W Wu - Journal of Algebra and Its Applications, 2022 - World Scientific
Let ℰ be an injectively resolving subcategory of left R-modules. We introduce and study ℰ-
Gorenstein flat modules as a common generalization of some known modules such as …

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 …

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 …

A cotorsion pair induced by the class of Gorenstein -flat modules

Q Yang - 대한수학회보, 2024 - kiss.kstudy.com
In this paper, we introduce the notion of Gorenstein $(m, n) $-flat modules as an extension of
$(m, n) $-flat left $ R $-modules over a ring $ R $, where $ m $ and $ n $ are two fixed …

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 …