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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 …

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 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 …

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 …