… 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 …

… 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 …

… 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 …

… n-flat modules, first discussed by Anderson and Dobbs in 2 (see also Dobbs Citation[11]),
and relate this to the notion of n-injectivity … such a module P n-projective. The class of (A n , E)-…

… modules. In section 1, we give a characterization of l-~'flat modules which follows CHASV,'S
characterization of rings for which direct products of fiat modules are fiat. We call a left …

… left modules over a ring R with identity element and without proper zero divisors. The left
module M is called flat if X ®R M is an exact functor on the category of right i^-modules X. If M is …

… modules, injective modules and flat modules, respectively, by … of projective modules,
injective modules and flat modules. Effectively, a module M is said to be Gorenstein projective if …

… -module is (n + 1)-presented. In [Citation6], Chen and Ding introduced the notion of n-FP-injective
and n-flat modules… every super finitely presented R-module is projective. Thus every R-…