Abstract

In this paper we characterize Q-modules and almost Q-modules. Next we estblish some equivalent conditions for an almost Q-module to be a Q-module. Using these results, some characterizations are given for Noetherian Q-modules.

DOI

10.3906/mat-0710-22

Keywords

Q-module, almost Q-module, Q-ring, almost Q-ring, Laskerian ring, Laskerian module, Noetherian spectrum, multiplication ideal and quasi-principal ideal.