We study direct-sum decompositions of pure-projective modules over some classes of rings.
In particular, we determine several classes of rings over which every pure-projective left …

When every projective module is a direct sum of finitely generated modules Page 1 Journal
of Algebra 315 (2007) 454–481 www.elsevier.com/locate/jalgebra When every projective …

Characterization of rings direct-projective modules direct-injective modules using and Page 1
Journal of Pure and Applied Algebra 87 (1993) 99-104 North-Holland 99 Characterization of …

We study direct-sum decompositions of RD-projective modules. In particular, we investigate
the rings over which every RD-projective right module is a direct sum of cyclically presented …

The present work gives some characterizations of R-modules with the direct summand sum
property (in short DSSP), that is of those R-modules for which the sum of any two direct …

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 …

An interesting result, obtaining by some theorems of Asano, Köthe and Warfield, states
that:“for a commutative ring R, every module is a direct sum of uniform modules if and only if …

It was shown in [5] that a finitely presented pure-injective module M has an indecomposable
decomposition if and only if M is completely pure-injective, that is, every pure quotient of M is …

In this paper we study (non-commutative) rings R over which every finitely generated left
module is a direct sum of cyclic modules (called left FGC-rings). The commutative case was …

A type decomposition of a module M over a ring R is a direct sum decomposition for which
any two distinct summands have no nonzero isomorphic submodules. In this paper, we …