We prove that the class of Gorenstein injective modules is both enveloping and covering
over a two sided noetherian ring such that the character modules of Gorenstein injective …

Let R be a commutative ring. An R-module M is said to be w-flat if TorR 1 (M, N) is a GV-
torsion R-module for all R-modules N. In this paper, we study the flat and projective …

We extend the cotorsion dimension of R-modules to unbounded R-complexes by applying
the flat model structure on Ch (R) proposed by J. Gillespie. This is not natural because there …

设R 是环ꎬmꎬn 是非负整数ꎬ 称右R-模C 是(mꎬn)-余挠模ꎬ 是指对任何平坦维数不超过n
的右R-模Nꎬ 都有Extm+ 1 R (Nꎬ C)= 0ꎮ 称右R-模M 为(mꎬn)-平坦模ꎬ 是指对任何(mꎬn) …

T -扩张代数的Tate上同调 Page 1 山东大学学报(理学版)2021年1月第56卷第1期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.56ꎬ No.1ꎬ 2021 http:/ / lxbwk.njournal.sdu.edu.cn …

In this paper, we study the class of rings in which every pure ideal is projective. We refer to
rings with this property as PIP-rings. Some properties and examples of PIP-rings are given …

In this article, we introduce and study the Gorenstein cotorsion dimension of modules and
rings. It is shown that this dimension has nice properties when the ring in question is left GF …

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In this paper we study the class of FI-cotorsion modules and we introduce there dimensions
of modules and rings. An R-module M is called FI-cotorsion if Ext 1 R (F, M)= 0 for any FI-flat …

A ring is called n-perfect (n 0), if every flat module has projective dimension at most n. The n-
perfect rings have a homological characterization using the cotorsion global dimension of …