Let R be a commutative ring with identity. Denote by FPR (R) the set of all R-modules
admitting a finite projective resolution consisting of finitely generated projective modules …

In this paper, we construct some non-integrally closed domains in Gorenstein multiplicative
ideal theory. For example, we show that there exists a Gorenstein Prüfer domain which is …

It is proved in [Strongly Gorenstein projective, injective and flat modules, J. Algebra 320
(2008) 2659–2674, Theorem 2.8] that a finitely presented torsion-free module is SG …

In this note, we mainly discuss the Gorenstein Prüfer domains. It is shown that a domain is a
Gorenstein Prüfer domain if and only if every finitely generated ideal is Gorenstein …

We study some homological properties of Gorenstein FP∞-injective modules, and we prove
(1) a ring R is not necessarily coherent if every Gorenstein FP∞-injective R-module is …

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¤ Þ Vol.64, No.2 2021±± ACTA MATHEMATICA SINICA, CHINESE SERIES Mar., 2021 ×ÁË …

Let R be a commutative ring with identity. An R-module E is said to be weak injective if Ext R
1 (N, E)= 0 for any super finitely presented R-module N. In this article, for a domain R with …

In this paper, we introduce the notion of C-Gorenstein weak injective modules with respect to
a semidualizing bimodule $ _SC_R $, where R and S are arbitrary associative rings. We …

In this article, we study the hereditary torsion theory defined by the set of associated primes
of principle ideals of an integral domain, which is called the g-torsion theory. We first discuss …

分次版本的Enochs定理 Page 1 山东大学学报(理学版)2018年10月第53卷第10期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.53ꎬ No.10ꎬ 2018 http:/ / lxbwk.njournal.sdu.edu.cn …