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http://hdl.handle.net/20.500.12358/25895
TitleOn graded n− absorbing submodules
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Abstract

Let G be a group with identity e. Let R be a G− graded commutative ring, M be a graded R− module and n be a positive integer. In this article, we introduce and study the concepts of graded n− absorbing submodules. Various properties of graded n− absorbing submodules are considered. For example, we show that if R is a Noetherian G− graded ring and M is a finitely generated graded R− module, then every nonzero proper graded submodule of M is a graded n− absorbing submodule of M for some positive integer n.

Authors
Hamoda, Mohammad
Ashour, Arwa E.
TypeJournal Article
Date2015
Published inLe Matematiche
SeriesVolume: 70, Number: 2
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  • Staff Publications- Faculty of Science [1066]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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