In this paper, we study the class of modules having the property that if any pure submodule
is isomorphic to a direct summand of such a module then the pure submodule is itself a …

A ring R is said to be left pure-hereditary (resp. RD-hereditary) if every left ideal of R is pure-
projective (resp. RD-projective). In this paper, some properties and examples of these rings …

In this paper, we introduce and study the pure-direct-projective modules, that is the modules
M every pure submodule A of which with M/A isomorphic to a direct summand of M is a direct …

In this paper, we study the class of modules have the property that every pure submodule is
essential in a direct summand. These modules are termed as pure extending modules which …

设A 是阿贝尔范畴, X 是A 的子范畴. Sather-Wagstaff, Sharif 和White 引入了Gorenstein
子范畴的概念, 记为G (X). 我们用PP (相应地, P) 代表纯投射R-模类(相应地, 投射R-模类) …

In this paper we study the relation between Gorenstein derived and pure derived categories
under some conditions. Then, we also study the relation between Gorenstein singularity and …

In this paper we introduce Pure direct projective module which is a generalization of Direct
projective module and dual notion of pure direct injective modules [13]. A module M is pure …

SOME RESULTS ON PURE PROJECTIVE MODULES Page 1 Palestine Journal of Mathematics
Vol. 12(Special Issue III) (2023) , 91–96 © Palestine Polytechnic University-PPU 2023 SOME …

A ring R is called right pure-injective if it is injective with respect to pure exact sequences.
According to a well known result of L. Melkersson, every commutative Artinian ring is pure …

Within the paper, we study the class of modules in which the direct sum of two disjoint
summands that is a pure submodule is also a summand. This class of modules is …