Decomposition on QTAG-modules with certain submodules

Ayazul Hasan; Rafiq Uddin

Ayazul Hasan Jazan University
Rafiq Uddin Aligarh Muslim University, India

Keywords: QTAG-modules, upper and lower basic submodules, cardinality

Abstract

A module M over an associative ring R with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. In this paper, we study some decomposition results on QTAG-modules with certain submodules in terms of the cardinality g(M).