The Right Gorenstein Subcategory

ZH Gao, W Wu - Acta Mathematica Sinica, English Series, 2023 - Springer
In this paper, we generalize the idea of Song, Zhao and Huang [Czechoslov. Math. J., 70,
483–504 (2020)] and introduce the notion of right (left) Gorenstein subcategory r G (C, D)(l G …

STRONGLY -GORENSTEIN INJECTIVE AND FLAT MODULES

Z Gao, Y Zhong - Rocky Mountain Journal of Mathematics, 2024 - projecteuclid.org
Let ℰ be an injectively resolving subcategory of left R-modules. We study a particular case of
ℰ-Gorenstein injective and flat modules, called strongly ℰ-Gorenstein injective and flat …

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 …

Strongly ()-Gorenstein Modules and Applications

L Kong - Bulletin of the Iranian Mathematical Society, 2020 - Springer
In this paper, we introduce strongly (X, Y, ZX, Y, Z)-Gorenstein modules, where X, Y, ZX, Y, Z
are additive full subcategories of R-\mathrm Mod M od. These modules provide a new …

GχI-Injective Module

WEI Jia-ling, Y Xiao-yan - Journal of Southwest China Normal …, 2018 - xbgjxt.swu.edu.cn
In this paper, Gχ-injective module is firstly used to introduce a new type of GχI-injective
module, a left R-module M is GχI-injective module, if ExtR1 (N, M)= 0 for any Gχ-injective …