On h-purifiable submodule of QTAG-module

Abstract

Different concepts 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 \cite{5}. %[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.