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 …

The study of pure-projectivity is accessed from an alternative point of view. Given modules M
and N, M is said to be N-pure-subprojective if for every pure epimorphism g: B → N g: B→ N …

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 …

This paper is the first one in a series of three dealing with the concept of injective
stabilization of the tensor product and its applications. Its primary goal is to collect known …

In this paper the hereditary ring is considered, defined, classified and studied which is
associative with unit where an ideal of R is T. Considering the ring B= B′/J is regular ring …

(m,n)-纯遗传环 Page 1 第58卷第3期 吉林大学学报(理学版) Vol.58 No.3 2020年5月
JournalofJilinUniversity(ScienceEdition) May 2020 doi:10.13413/j.cnki.jdxblxb.2019290 (m,n)-纯 …

In this paper we study generalizations of the concept of pure-direct-injectivity from module
categories to Grothendieck categories. We examine for which categories or under what …

In this paper, we study the class of rings in which every pure ideal is projective. We refer to
rings with this property as PIP-rings. Some properties and examples of PIP-rings are given …

For an commutative ring T with identity, we define Distributive ring if any module over T is
distributive. In this paper we study and investigate some new relationships between …

We denote by $\mathcal {W} $ the class of all pure projective modules. Present article we
investigate $\mathcal {W} $-injective modules and these modules are defined via the …