… the w-Nagata module of M respectively. Then we introduce and study two concepts of w-projective
modules and w-invertible modules, which both generalize projective modules. To do …

… -projective modules, for any module N, the pure submodules of N-pure-subprojective modules…
We show that a module N is a pure submodule of a pure-projective module if and only if N …

… By applying Lemma 2.5 to the pure submodule K = Kn−1 of the pure-projective module P =
P… By our assumption, K is a pure submodule of a pure-projective module P0. We apply the …

… of purity is extremely important in abelian group theory. One reason for this is that there are
enough pure-injective (and also enough pure-projective) … the purity concept to modules over …

… Purity is the basis of a relative homological theory, which leads to such concepts as pure
resolutions by pure projective modules and pure projective dimension. The reader is advised to …

… In Proposition 4.1, we prove that for a pure direct projective module M, M is pure rickart module
and dual rickart module iff M ⊕ M has SSP and PIP properties iff M is endoregular module…

… hyphen modules period The main aim of this paper is to define and investigate the pure
hyphen … sum of finite hyphen dimensional R hyphen modules period .. In connection with Galois …

… Gorenstein projective modules is an intermediate class between the ones of projective modules
and Gorenstein projective modules [3, … {projective modules} ⊆ {SG−projective modules} …

… irreducibly generated modules in this case then we have also dealt with the projective modules.
… , if S is an irreducible and projective FG-module then it suffices to decompose the tensor …

… A ring R is called left hereditary if every left ideal of R is projective. Since pure-projective
modules and FP-projective modules are generalizations of projective modules, it seems natural …