… that the global Gorenstein flat dimension and the finitistic Gorenstein flat dimension of A are
no more than that of B. Additionally, the problem of preserving the property of Gorenstein flat …

… Gorenstein projective dimension of abelian category A. Moreover we prove in Proposition 3.9
that over a n-Gorenstein … R-modules, and by Flat(R) the class of all flat R-modules. The pair …

… Gorenstein (L,A)-flat modules are Gorenstein flat. In this paper, we show that a flat module
which is not projective is not Gorenstein (L,A… The relative homological dimension based on the …

… In Section 3, we study Frobenius bimodules and Gorenstein flat modules. In this section, …
-module X is a Gorenstein flat (resp. Gorenstein projective) if and only if M ⊗ R X is a Gorenstein …

… relative rigid module over an algebra of finite CM-type. We also show the relations among
Gorenstein tilting modules, Gorenstein star modules … Gorenstein projective, injective and flat …

… flat R-modules is denoted by G F C ( R ) . In the case C = R, we use the more common
terminology “complete flat resolution” and “Gorenstein flat module… investigate the relative setting of …

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

… flat-injective duality pair, agrees with the usual definition of Gorenstein projective modules
… 4, we construct Gorenstein projective modules relative to the complete duality pairs over the …

… In the second part, we extensively study the relative Gorenstein flat … , with respect to a
non-necessarily semidualizing module. … of relative flat modules on which we will construct relative …

… notions in relative homological algebra. For example, Asensio, López … modules and n-gr-flat
modules, we introduce the concept of Gorenstein n-FP-gr-injective and Gorenstein n-gr-flat …