… is locally split. We prove that every locally pure-projective module is a Mittag-Leffler
module. We … from this that if every module is locally pure-projective, then it is actually pure-projective. …

… a local duo-ring, then the C-pure projective left R-modules and … pure projective module
is a direct sum of cyclic modules. The following example shows that a C-pure projective R-module …

… collection of all modules N such that M is N -subprojective. We consider, for every pure-projective
module M , the subprojective domain of M . We show that the flat modules are the only …

… through a direct sum of finite - dimensional R- modules . In connection with Galois coverings
we study mainly “ local ” properties of Pu related with some stabilizer property of a free …

… By Corollary 2.8, if R is a ring over which every pure projective module is a direct sum of
finitely presented … with a local endomorphism ring, so that every pure projective …

… modules and rings such as pure-projective modules, FP-injective and FP-projective modules…
We show that a module N is a pure submodule of a pure-projective module if and only if N is …

… We show that M is finitely pure-projective if and only if, for … that every flat left R-module is
locally projective if and only if R is … of finitely (or singly) pure-projective modules, we define Q to …

… universally torsionless modules (which we have chosen to call locally projective modules) …
of M is contained in a countably generated map pure projective submodule of M. 4. M is the …

… Projective modules are precisely direct summands in free modules, pure projective
modules are precisely direct summand in direct sums of finitely presented modules. …

… of pure projective modules. … , Ab) is locally coherent if every finitely generated subobject F
≤ G is coherent. For example, if C is a pure projective module, then the functor − ⊗ C is locally …