MULTIPLICATION COMPONENTS OF GRADED MODULES

Authors

  • Rashid Abu-Dawwas Yarmouk University - Department of Mathematics

Keywords:

graded multiplication modules, graded modules

Abstract

Let G be a group and g ∈ G.  Let R be a commutative G-graded ring and M be a graded R-module.  In this paper, we study some cases when R is strongly graded ring and the component Me of M is multiplication Re-module.  Also, we prove that if R is strongly graded, then the components Mg of M are multiplication Re-modules if and only if the component Me is P-torsion or P-cyclic where P is a prime ideal of the component Re of R.

Cover of n°35 Italian Journal of Pure and Applied Mathematics

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Published

2015-12-31

How to Cite

Abu-Dawwas, R. (2015). MULTIPLICATION COMPONENTS OF GRADED MODULES. Italian Journal of Pure and Applied Mathematics, 35, 389–392. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6420

Issue

N°35 - December 2015

Section

Articoli - Forum Editrice

License

Copyright (c) 2015 Rashid Abu-Dawwas

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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