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 …

Modules in which every essential submodule contains an essential fully invariant
submodule are called endo-bounded. Let M be a nonzero module over an arbitrary ring R …

An integral domain R is called a locally almost perfect domain provided that Rm is an almost
perfect domain for any maximal ideal m of R. In this paper, we give several characterizations …

We introduce and study the concepts of weak n-injective and weak n-flat modules in terms of
super finitely presented modules whose projective dimension is at most n, which generalize …

G sub n hyphen coherent rings in various ways comma using G sub n hyphen flat comma G
sub n hyphen injective modules and cotorsion theory period 1 period.. Introduction A ring R …

We obtain various characterizations of commutative Noetherian local rings $(R,\fm) $ in
terms of homological dimensions of certain finitely generated modules. For example, we …

Let R be a commutative ring. An R-module M is said to be w-flat if TorR 1 (M, N) is a GV-
torsion R-module for all R-modules N. In this paper, we study the flat and projective …

In this article, we introduce and study the Gorenstein cotorsion dimension of modules and
rings. It is shown that this dimension has nice properties when the ring in question is left GF …

Let R be a ring. A right R-module C is called cotorsion if for any flat right R-module biF. In
this paper, we first give some results on cotorsion envelopes that are analogous to those on …

Let $\Lambda $ be a left and right Noetherian ring. First, for $ m, n\in\mathbb {N}\cup\{\infty\}
$, we give equivalent conditions for a given $\Lambda $-module to be $ n $-torsionfree and …