We characterize left Noetherian rings in terms of the duality property of injective
preenvelopes and flat precovers. For a left and right Noetherian ring R, we prove that the flat …

In this article, the projectivity of finitely generated flat modules of a commutative ring are
studied from a topological point of view. Then various interesting results are obtained. For …

RINGS OVER WHICH FLAT COVERS OF SIMPLE MODULES ARE PROJECTIVE Page 1
Journal of Algebra and Its Applications Vol. 11, No. 3 (2012) 1250046 (7 pages) c© World …

In this paper, δ-lifting and δ-supplemented modules are defined as generalizations of lifting
and supplemented modules. Several properties of these modules are proved. New …

A module M is called extending if, for any submodule X of M, there exists a direct summand
of M which contains X as an essential submodule, that is, for any submodule X of M, there …

We first introduce and study the notion of semi-regular flat modules, and then show that a
ring $ R $ is a strong\Prufer\ring if and only if every submodule of a semi-regular flat $ R …

Let R be a commutative ring. The Gorenstein super finitely presented dimension of R is
defined as Gs. gl.\dim (R)=\sup {Gpd _ RM\,|\, M Gs. gl. dim (R)= sup Gpd RM| M is a super …

Full article: On Generalized Perfect Rings Skip to Main Content Taylor and Francis Online
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It is known that a ring R is left Noetherian if and only if every left R-module has an injective
(pre) cover. We show that (1) if R is a right n-coherent ring, then every right R-module has an …

A ring R is called a left (right) SF-ring if simple left (right) R-modules are flat. It is still
unknown whether a left (right) SF-ring is von Neumann regular. In this paper, we give some …