Let A be an abelian category. For a pair (X, Y) of classes of objects in A, we define the weak
and the (X, Y)-Gorenstein relative projective objects in A. We point out that such objects …

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 …

We prove that Vopěnka's Principle implies that for every class X of modules over any ring,
the class of X-Gorenstein Projective modules (X-GP) is a precovering class. In particular, it is …

Let 𝒜 be an abelian category and 𝒳, 𝒴, 𝒵 additive full subcategories of 𝒜. We introduce and
study the Gorenstein category 𝒢 (𝒳, 𝒴, 𝒵) as a common generalization of some known …

In this paper, weak tilting modules are introduced and investigated. We show that all tilting
modules are weak tilting modules, but the converse is not true. We prove that a module is …

Let be a class of left R-modules that contains all projective left R-modules. We study a kind
of stability of-Gorenstein projective modules and settle in affirmative the following question …

Noetherian环上的Gorenstein余挠模 Page 1 山东大学学报(理学版)2023年8月第58卷第8期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University(Natural Science)ꎬ Vol.58ꎬ No.8ꎬ 2023 http:/ / lxbwk.njournal.sdu.edu.cn …

设R 是交换环, C 是一个半对偶R-模, X 是一个R-模类. 引入了X-GC-投射复形的概念,
证明了复形M 是XG C-投射的当且仅当M 的每个层次上的模都是XG C-投射模, 并且对任意的CX …

X -强n-Gorenstein投射模 Page 1 山东大学学报(理学版)2023年8月第58卷第8期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University(Natural Science)ꎬ Vol.58ꎬ No.8ꎬ 2023 http:/ / lxbwk.njournal.sdu.edu.cn …

For an integer N≥ 2 and three subcategories 𝒲, 𝒳, 𝒴 of modules, we study the notion of (𝒲,
𝒳, 𝒴)-Gorenstein N-complexes. We show that under certain hypotheses, an N-complex C is …