In this paper, we define a class of relative derived functors in terms of left or right weak flat
resolutions to compute the weak flat dimension of modules. Moreover, we investigate two …

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Let R be a ring. A left R-module M (resp., right R-module N) is called weak injective (resp.,
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …

Let R be an arbitrary ring. We introduce and study a generalization of injective and flat
complexes of modules, called weak injective and weak flat complexes of modules …

Recently, many authors have embraced the study of certain properties of modules such as
projectivity, injectivity and flatness from an alternative point of view. Rather than saying a …

In this short paper, the homological functors are used to show that a simple module is flat if
and only if it is injective. It is used to give a characterization of Von Neumann regular ring …

For a ring R, we prove that all left R-modules have weak injective covers and weak injective
preenvelopes. Then we characterize the right weak injective dimension of modules in terms …

Let $ R $ be a commutative ring. An $ R $-module $ M $ is said to be $ w $-flat if $\Tor^{R} _
{1}(M, N) $ is $ GV $-torsion for any $ R $-module $ N $. It is known that every flat module is …

Almost-Flat Modules Page 1 Czechoslovak Mathematical Journal, 53 (128) (2003), 479–489
ALMOST-FLAT MODULES ¡£¢¤¡¥¦ §© , Cluj-Napoca (Received June 26, 2000) Abstract …

In this paper we will first establish a duality between in jectivity and flatness for modules.
That is: Let E be a faithfully in jective module". Then, for each module A, we have W, dim. A …