Title of article :
Annsemimaximal and Coannsemimaximal Modules
Author/Authors :
Hadi, I. M.A. University of Baghdad - College of Education Ibn-Al-Haitham - Department of Mathematics, Iraq , Khalaf, H. Y. University of Baghdad - College of Education Ibn-Al-Haitham - Department of Mathematics, Iraq
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 annRN (resp.annR M/N ) is semimaximal ideal of R for each nonzero submodule N of M.
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.
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
