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 …

In this paper, the projectivity of a finitely generated flat module of a commutative ring is
studied through its exterior powers and invariant factors and then various new results are …

When every finitely generated flat module is projective Page 1 Journal of Algebra 277 (2004)
542–558 www.elsevier.com/locate/jalgebra When every finitely generated flat module is …

We introduce nets in rings, which turn out to describe right flat modules and left flat modules
over a fixed ring R at the same time. As an application we prove that for a finitely generated …

In Bican et al., it is proved that all modules over an arbitrary ring have flat covers. In this
article, we shall study rings over which flat covers of finitely generated modules are …

In this paper we introduce and investigate a class of those rings in which every finitely
generated flat ideal is projective. We establish the transfer of this notion to trivial ring …

Let R be a commutative ring with identity and S a multiplicative subset of R. The aim of this
paper is to study the class of commutative rings in which every S-flat module is flat (resp …

We assume throughout that R is an associative ring with unity whose modules are left unital;
J (R) is the Jacobson radical of R;~ n is the ring of matrices of order n over the ideal~ of R; …

All rings are assumed to be associative and with nonzero identity element, and all modules
are assumed to be unitary. A ring is said to be right (resp., left) invariant if all right (resp., left) …

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 …