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 …

In this paper, we investigate Gorenstein FC-projective modules and Gorenstein FC-
projective dimensions, and characterize rings over which every module is Gorenstein FC …

In this article, the concept of Gorenstein FP-injective modules and some related known
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …

Let R be a ring and n be a non-negative integer. In this paper, we introduce and study the
notions of Gorenstein n-weak injective and Gorenstein n-weak flat modules by using the …

Let S and R be rings and _SC_R be a semidualizing bimodule. We first give the definitions
of C-transpose and nC-torsionfree and give a criterion for a module A to be G_C-projective …

Auslander and Bridger [Stable module theory, Memoirs of the American Mathematical
Society, No. 94, American Mathematical Society, Providence, RI, 1969] introduced the …

Let R be a commutative Noetherian ring. In this paper, we study those finitely generated R-
modules whose Cousin complexes provide Gorenstein injective resolutions. We call such a …

Let $ T $ be a tilting module. In this paper, Gorenstein $\pi [T] $-projective modules are
introduced and some of their basic properties are studied. Moreover, some characterizations …