In this paper, we introduce and study G C-flat complexes over a commutative Noetherian
ring, where C is a semidualizing module. We prove that G C-flat complexes are actually the …

In this paper, we extend the notion of strongly Gorenstein flat (SG-flat) modules to SG-flat
complexes which are special types of Gorenstein flat complexes, and we discuss the …

We give sufficient conditions on a class of R‐modules article amssymb empty C in order for
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …

Let C be a semidualizing R-module over a commutative coherent ring R. In this artical, we
show that if S is a faithfully flat commutative R-algebra such that the class of C⊗ R S …

Let $ R $ be a commutative Noetherian ring, $\fa $ an ideal of $ R $ and $\mathcal {D}(R) $
denote the derived category of $ R $-modules. We investigate the theory of local homology …

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 …

Let X be a class of left R-modules, Y be a class of right R-modules. In this article, we
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …

Let R be a commutative (possibly non-Noetherian) ring (in order to make things less
technical) and C a semidualizing R-module. In this article, we introduce and investigate the …

Let R be a commutative Noetherian ring, 𝔞 be an ideal of R and denote the derived category
of R-modules. We investigate the theory of local homology in conjunction with Gorenstein …

In this paper, we introduce and investigate the notion of Gorenstein XY-flat modules with
respect to a semidualizing module and also study the relationship between the GC-XY-flat …