Let R be a commutative ring, and let C be a semidualizing R-module. We introduce the
notion of finitely presented C-injective modules, finitely presented C-flat modules, weak C …

From the notion of (co) generator in relative homological algebra, we present the concept of
finite balanced system $[(\mathcal {X},\omega);(\nu,\mathcal {Y})] $ as a tool to induce …

Let S and {iaR} be two associative rings, let SCR be a semidualizing (S, R)-bimodule. We
introduce and investigate properties of the totally reflexive module with respect to SCR and …

We contribute to the theory of G-dimension relative to a semidualizing module C, in
connection to the properties of a module being totally C-reflexive, Ck-torsionless, and Ck …

强n-Gorenstein C-投射模和内射模 Page 1 第49卷2013年第4期 西北师范大学学报(自然科学版
) Vol.49 2013 No.4 Journal of Northwest Normal University(Natural Science) 收稿日期:2012-06-27;修改 …

Let R, S be arbitrary associative rings and RCS a semidualizing bimodule. We give some
equivalent characterizations for R being left coherent (and right perfect) rings, left …

Let R be a commutative Noetherian ring. Denote by\({\text {mod}} R\) the category of finitely
generated R-modules. In this paper, we investigate the finiteness of the radii of resolving …

相对于半对偶模的f-内射模 Page 1 山东大学学报(理学版)2020年8月第55卷第8期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.55ꎬ No.8ꎬ 2020 http:/ / lxbwk.njournal.sdu.edu.cn …

Let R be an associative (not necessary commutative) ring. In this paper, we give some
properties of Hom-faithful and Hom-cofaithful R-modules. We investigate Σ-self-orthogonal R …

Let R be a semiperfect commutative Noetherian ring with identity and C, S be semidualizing
R-modules. We study the theory of linkage with respect to S for modules of finite GC …