Keskin and Harmanci defined the family B (M, X)= ${A {\leq} M|{\exists} Y {\leq} X,{\exists} f
{\in} Hom_R (M, X/Y),\; Ker\; f/A {\ll} M/A} $. And Orhan and Keskin generalized projective …

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, we study the problem when a finitely generated torsionless module is
projective. Let Λ be an Artinian local algebra with radical square zero. Then a finitely …

In [3] C. Faith and EA Walker gave a characterization of a left artinian ring in terms of module
theories. That is, a ring B is left artinian if and only if every injective left B-module is a direct …

We have defined, in|| 5], the notions of quasi-No-and No-continuous modules which can be
regarded as generalized notions of right No-continuous regular rings (see [2],| 3|). In this …

In this note we consider a generalization of the notion of a purely extending modules,
defined using y–closed submodules. We show that a ring R is purely y–extending if and only …

A structure theorem for regular pure projective modules over any associative ring with
identity is given. This extends an earlier result for regular projective modules, which in turn …

In the present paper, we give a more explicite criterion of the directly finiteness of projective
modules over each types and show the following for a df regular ring R satisfying the c …

In this paper we resume the study of projective modules over semilocal rings we began in
[12]. If R is a semilocal ring, the canonical projection T of R onto the semisimple artinian ring …