Decompositions of graded maximal submodules Commun. Korean Math. Soc. 2022 Vol. 37, No. 1, 1-15 https://doi.org/10.4134/CKMS.c200428 Published online March 5, 2021 Printed January 31, 2022 Fida Moh'd Princess Sumaya University for Technology Abstract : In this paper, we present different 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. Keywords : Graded rings, graded modules, graded maximal submodules, gr-maximal submodules, graded Jacobson radical, gr-Jacobson radical, gr-max-nested modules, decomposition MSC numbers : 13A02 Downloads: Full-text PDF   Full-text HTML