Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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DECOMPOSITIONS OF GRADED MAXIMAL SUBMODULES

  • Moh'd, Fida (Department of Basic Sciences Princess Sumaya University for Technology)
  • Received : 2020.11.13
  • Accepted : 2021.01.20
  • Published : 2022.01.31
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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.

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References

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