Let R be a ring. A left R-module M (resp., right R-module N) is called weak injective (resp.,
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …

A ring R is called left P-coherent in case each principal left ideal of R is finitely presented. A
left R-module M (resp. right R-module N) is called D-injective (resp. D-flat) if Ext1 (G, M)= 0 …

A ring R is called “left generalized morphic” if for every element a in R, there exists b∈ R
such that l (a)≅ R/Rb, where l (a) denotes the left annihilator of a in R. The aim of this article …

For a ring R, we prove that all left R-modules have weak injective covers and weak injective
preenvelopes. Then we characterize the right weak injective dimension of modules in terms …

Gorenstein (mꎬn)-内射模 Page 1 山东大学学报(理学版)2020年12月第55卷第12期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.55ꎬ No.12ꎬ 2020 http:/ / lxbwk.njournal.sdu.edu.cn …

In this article, we introduce the concept of IFP-flat (resp., IFP-injective) modules as nontrivial
generalization of flat (resp., injective) modules. We investigate the properties of these …

In this paper, we first study RD-projective and RD-injective modules using, among other
things, covers and envelopes. Some new characterizations for them are obtained. Then we …

We establish equivalent conditions under which every object in an Abelian category has a
monic X-cover and an epic X-envelope respectively, when X is a class of objects closed …

A GENERALIZATION OF NOETHERIAN RINGS Lixin Mao Throughout this paper, R is an
associative ring with identity and all modules are Page 1 TAIWANESE JOURNAL OF …

文中引入强左(m, n)-凝聚环R (如果左R-模Rm 的每个n-生成子模是(m, n)-表现), 证明了在强(m,
n)-凝聚环上,(P (m, n), I (m, n)) 和(F (m, n), C (m, n)) 是遗传余挠理论; 每个左R-模是(m, n) …