On \(h-\)Purifiable Submodule of \(QTAG-\)module

Abstract

Different concept and decomposition theorems have been done for \(QTAG-\)modules by a number of authors. The concept of quasi \(h\)-pure submodules were introduced and different characterizations were obtained in [5]. The purpose of this paper is to obtain the relation between purifiability of a submodule and quasi \(h\)-pure submodules. Further we obtained results which shows that purifiability of a submodule is very much dependent on the purifiability of a \(h\)-pure and \(h\)-dense submodule of the given submodule.