In this paper, by using functor rings and functor categories, we study finiteness and purity of
subcategories of the module categories. We give a characterisation of contravariantly finite …

Abstract Recently, Wang, Wei and Zhang introduced the notion of recollements of
extriangulated categories. In this paper, let (A, B, C) be a recollement of extriangulated …

Let X be a class of left R-modules, Y be a class of right R-modules. In this article, we
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …

As a generalization of a resolving subcategory, which was introduced by Auslander and
Bridger in [2], the notion of a quasi-resolving subcategory of an abelian category is …

Ext-强Ding投射模 Page 1 山东大学学报(理学版)2020年10月第55卷第10期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.55ꎬ No.10ꎬ 2020 http:/ / lxbwk.njournal.sdu.edu.cn …

引入弱Gorenstein FC-投射模和强泛Gorenstein FC-投射模, 讨论了这两类模的同调性质,
证明了在右余凝聚环R 上, 若r. FC. gl. dim (R)<∞, 则FC-投射模类, Gorenstein FC-投射模类 …

We show that the Grothendieck abelian category $ X\operatorname {\mathsf {--Qcoh}} $ of
quasi-coherent sheaves on a quasi-compact semi-separated scheme $ X $ satisfies the …

Let T be a triangulated category with a proper class ξ of triangles and X be a subcategory of
T. We first introduce the notion of X-resolution dimensions for a resolving subcategory of T …

For a class of $ R $-modules $\mathcal {X} $ containing all projective $ R $-modules, the
$\mathcal {X} $-Gorenstein projective $ R $-modules vary from projective to Gorenstein …

Let 𝒜 be an abelian category. A subcategory 𝒳 of 𝒜 is called coresolving if 𝒳 is closed under
extensions and cokernels of monomorphisms and contains all injective objects of 𝒜. In this …