Annsemimaximal and Coannsemimaximal Modules

Authors

I. M.A. Hadi
, H. Y. Khalaf

Keywords:

: Annsemimaximal module, semisimple module, semisimple ring, semiprime module, max-module, uniform module, Z-regular module, F-regular module, Artinian module, flat module, coprime module, coannsemimaximal module.

Abstract

Some authors studied modules with annihilator of every nonzero submodule is prime, primary or maximal. In this paper, we introduce and study annsemimaximal and coannsemimaximal modules, where an R-module M is called annsemimaximal (resp. coannsemimaximal) if ann_RN (resp. ) is semimaximal ideal of R for each nonzero submodule N of M.