… pure-projective module which is not finitely generated. In [12, proof of Lemma 14.21], such
a module … pureprojective module is a direct sum of countably generated (and automatically …

… of cyclically pure (or C-pure) projective modules. In … -pure projective left R-module is pure
projective. Also, over a left hereditary Noetherian ring R, a left R-module M is C-pure projective …

… A module is called locally pure-projective if every pure epimor… every locally pure-projective
module is a Mittag-Leffler module. … is locally pure-projective, then it is actually pure-projective. …

… pure as a left ideal is the trace of a projective left module. It is easily seen that the trace ideal
of a projective module over a commutative ring is a pure … projective left ideal with a non pure …

… from module theory and from model theory led us to this result: every pure-projective module
… true for countable (in fact even countably generated) modules, cf. [RG]; every constructible …

… of any pure-projective module is closed under submodules if and only if wD(R) ≤ 1; (2) R
is left coherent if and only if the subprojectivity domain of any pure-projective module is closed …

… which every right Rmodule is pure-direct-projective. We examine … pure-direct-projective
right R-modules are direct-projective, … that every pure-projective module is pure-direct-projective. …

… We note that if M is an FC-module then M is absolutely pure. This is an easy consequence
of the fact that every character module is pure-injective. We begin by studying the weakest of …

… definable subcategories with enough pure projective modules. It is … a pure monomorphism
m : M → U with U a pure injective … T is a pure epimorphic image of the pure projective module …

… Since R is a serial artinian ring with J 2 (R) = 0, by [17, Corollary 2.5] every right R-module
is a sirect sum of a projective module and a semisimple module. In particular, every nonsimple …