Decompositions of Graded Maximal Submodules
Commun. Korean Math. Soc.
Published online March 5, 2021
Fida Moh'd
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.
Keywords : graded rings, graded modules, graded maximal submodules, gr-maximal sub- modules, graded Jacobson radical, gr-Jacobson radical, gr-max-nested modules, decomposition
MSC numbers : 13A02
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