Commun. Korean Math. Soc. Published online March 5, 2021
Princess Sumaya University for Technology
Abstract : In this paper, we present diff erent decompositions of graded maximal submodules of a graded module. From these decompositions, we derive decompositions of the graded Jacobson radical of a graded module. Using these decompositions, we prove new theorems about graded maximal submodules, improve old theorems, and give other
proofs for old theorems.