… pure (or C-pure) projective modules. In particular, it is shown that a ring R is left Noetherian if
and only if every C-pure projective … consider rings whose every C-pure projective module is …

… projective. Since pure-projective modules and FP-projective modules are generalizations of
… In this paper, we shall study left pure-hereditary rings and left FP-hereditary rings which are …

… projective module over a commutative ring is a pure ideal. We show by an example that there
exists a ring and a projective left ideal with a non pure … consider rings in which pure ideals …

… In the last section, we investigate the rings over which every cyclic module is pure-projective.
It is shown that a ring R is … Since pure-projective modules are a generalization of projective …

… projective modules and their endomorphism rings. Specifically, the basic problem is to
describe the projective modules whose endomorphism rings … Call a projective module regular if …

… has one of the dual properties flat or projective. The main result of this paper is a … ring as a
ring over which a left Ä-module is injective if and only if its character module is projective. This …

… version of Saorın’s Question has a positive answer for a large class of rings. By Corollary
2.8, if R is a ring over which every pure projective module is a direct sum of finitely presented …

… -projective. We examine for which rings or under what conditions pure-direct-projective right
… We prove that over a Noetherian ring every injective module is pure-direct-projective and a …

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

… ring over which every (simple, cyclic, finitely generated) pure-projective module is
projective or pp-… We prove that, over a ring R, (1) the subprojectivity domain of any pure-projective …