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 …

In this paper, we investigate the notions of X⊥‐projective, X‐injective, and X‐flat modules
and give some characterizations of these modules, where X is a class of left modules. We …

Let T be a tilting module. In this paper, Gorenstein σ [T]-injective modules are introduced and
some of their basic properties are studied. Moreover, some characterizations of rings over …

GORENSTEIN FI-FLAT (PRE)COVERS 1. Introduction The notions of (pre)covers and (pre)envelopes
of modules were introduced by Enoch Page 1 Gulf Journal of Mathematics Vol 3, Issue 4 (2015) …

设R 是环, M 是左R-模, n 是一个固定的非负整数. 称M 是Gorenstein n-余挠的,
如果对任意Gorenstein n-平坦左R-模N, 有Ext_R^ 1 (N, M)= 0. 本文主要在右n-凝聚环上讨论了 …

In this paper, we introduce and study the notions of Gorenstein n-FP-injective and
Gorenstein n-flat complexes, which are special cases of Gorenstein FP-injective and …

In this paper, we study some properties of $ G_C $-flat $ R $-modules, where $ C $ is a
semidualizing module over a commutative ring $ R $ and we investigate the relation …

Abstract Let XX, UU and ZZ be classes of left R-modules, WW be a class of right R-modules
and X ⊆ UX⊆ U. In this paper, we investigate the relationship between Z Z-proper (resp. Z Z …

In this paper, we study some properties of GC-n-flat modules, where C is a semidualizing
module and we investigate the relation between the m-GC-yoke with the mC-yoke of a …

In this paper, we investigate Tate homology tor tor^ of modules of finite Gorenstein n n-flat
dimension. In particular, we give a tight connection between Tate homology, relative …