… strongly Gorenstein injective, strongly Gorenstein flat) module. In this paper, we continue the
study of strongly Gorenstein projective, injective and flat modules. In Section 3, we consider …

… is finitely presented n-strongly Gorenstein flat. In addition, we prove that … module of an n-strongly
Gorenstein flat module is n-strongly Gorenstein injective; and that the character module …

… flat modules are given. Let R be any ring. We prove that if every injective right R-module has
a finite flat dimension… between weak Gorenstein injective and weak Gorenstein flat modules. …

… module is Ding projective if it is a cycle module of some exact complex P of projectives such
that HomR(P, F) remains exact for all flat modules … exact for all flat modules F rather than just …

… G–dimension of finitely generated modules; see [49]. Before describing the criteria for
finiteness of Gorenstein projective, injective and flat dimensions, we present a few applications. …

… injective module'' of the ring. Next, using above results, we will treat a problem: Is the tensor
product of injective modules … and every principal ideal is projective (or flat), the ring is a direct …

… rings the Gorenstein projective, injective, and flat modules were (… projective and Gorenstein
flat modules is (nearly) similar to the one between the classical projective and flat modules (…

… of modules with Gorenstein projective, injective, and flat dimension less or equal than n
≥ 0 , which we call, respectively, strongly n-Gorenstein projective, injective and flat modules. …

… projective modules and C-Gorenstein projective modules, we define the TC -Gorenstein
projective modules… the LC-Gorenstein injective and HC-Gorenstein flat modules. And we get the …

… if and only if its character module has one of the dual properties flat or projective. The main
… a left Ä-module is injective if and only if its character module is projective. This removes an …