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 …

We study singularity categories through Gorenstein objects in triangulated categories and
silting theory. Let ω be a presilting subcategory of a triangulated category T. We introduce …

In this paper, weak Gorenstein projective, injective and flat modules are introduced and
investigated. A left R-module M is called weak Gorenstein projective if there exists an exact …

Let R be a ring and 𝒲 a self-orthogonal class of left R-modules which is closed under finite
direct sums and direct summands. A complex C of left R-modules is called a 𝒲-complex if it …

摘要本文主要研究了强W-Gorenstein 模以及n-强W-Gorenstein 模的同调性质.
第一部分我们引入了强W-Gorenstein 模, 研究了它的一些同调性质, 得到了强W-Gorenstein …

Let W be a self-orthogonal class of left R-modules. We introduce a class of modules, which
is called strongly W-Gorenstein modules, and give some equivalent characterizations of …