n-strongly Gorenstein Projective and Injective and Flat Modules Page 1 Chin. Quart. J. of Math.
2014, 29 (4): 553—564 n-strongly Gorenstein Projective and Injective and Flat Modules YANG …

In this paper we introduce the notion of Gorenstein X-flat R-module and study a kind of
stability of the class of Gorenstein X-flat R-modules. A ring R is called right GXF-closed if the …

We establish relations of Gorenstein homological properties of modules and rings linked by
a fixed quasi-Frobenius bimodule. Particularly, let R ⊂ SR⊂ S be a strongly separable …

In this paper, we study the conditions under which a module is a strict Mittag–Leffler module
over the class 𝒢 ℐ of Gorenstein injective modules. To this aim, we introduce the notion of 𝒢 …

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 …

In this paper, we study a particular case of Gorenstein projective, injective, and flat modules,
which we call, respectively, strongly Gorenstein projective, injective, and flat modules. These …

Coherent rings with finite self-FP-injective dimension Page 1 COMMUNICATIONS IN ALGEBRA,
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …

For a given class of modules A, let A˜ be the class of exact complexes having all cycles in A,
and dw (A) the class of complexes with all components in A. Denote by GI the class of …

We show that an iteration of the procedure used to define the Gorenstein projective modules
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …

Let R be a graded ring and n⩾ 1 an integer. We introduce and study n-strongly Gorenstein
gr-projective, gr-injective and gr-flat modules. Some examples are given to show that n …