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International Mathematical Forum
Article . 2006 . Peer-reviewed
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Article . 2006
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Notes on the graded prime submodules

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2006Publisher:Hikari, Ltd.Journal:International Mathematical Forum (eissn: 1314-7536, Copyright policy )
Authors: Ebrahimi Atani, S.; Farzalipour, F.;

doi: 10.12988/imf.2006.06162

Notes on the graded prime submodules

Abstract

Summary: Let \(G\) be a monoid with identity \(e\), and let \(R\) be a \(G\)-graded commutative ring. Here we study the graded prime submodules of a graded \(R\)-module. While the bulk of this work is devoted to extending some results from prime submodules to graded prime submodules. A number of results concerning of these class of submodules are given.

Keywords

Graded rings and modules (associative rings and algebras), Theory of modules and ideals in commutative rings, Graded rings

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Top 10%
Average
gold