… module is a direct sum of a projective module and a semisimple … C-flat modules coincide with
singly-projective modules over … to singly projective modules in terms of C-pure submodules. …

… projective property with respect to all pure (C-pure) exact sequences. Pure projective modules
and C-pure projective modules … neat projective module is a direct sum of a projective and …

… taking C ∈ A(R−mod) we define the C-pure sequences of left Rmodules, C-projective left
R-… projective modules share some convenient properties with the usual projective modules. …

… In model theory the notions of pure-injective modules and pure-projective modules are
more useful than that of injective modules and projective modules. These modules have been …

… In this paper, we address some questions raised on the RD-projective modules. For an
RD-projective module, the minimal subprojectivity domain is the class of torsionfree modules. …

… The classical Govorov–Lazard theorem [12, 16] tells that the flat modules are precisely the
direct limits of (finitely generated) projective modules. It is not known whether an analogue of …

… projective modules and strongly Ccoherent rings. Following [24], a left R-module M is called
C-projective … We call A a C-pure submodule of B if for all C ∈ C, the induced map A ⊗R C → …

… -Leffler modules are pure separable—and this is the case precisely when also in the description
of pure-projective modules ‘… (iv) Every C-atomic module in Cis C-pure separable by b. …

… gives that all flat left modules are absolutely C -pure by [13, Lemma 3.1], whence are … only
projective modules is defined to be p-indigent in [18]. For an RD-projective right R-module A, …

… A min-pure injective module is … projective modules which is the projective objects of min-pure
exact sequences. Various ring characterizations and examples of both classes of modules …