On graded primary-like submodules of graded modules over graded commutative rings
Abstract Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded primary-like submodules as a new generalization of graded primary ideals and give some basic results about graded primary-like submodules of grad...
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Universidad Católica del Norte, Departamento de Matemáticas
2021
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oai:scielo:S0716-091720210004008592021-08-12On graded primary-like submodules of graded modules over graded commutative ringsAl-Zoubi,KhaldounAl-Dolat,Mohammed Graded primary ideals Graded primary-like submodules Graded prime submodules, gr-primeful property Abstract Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded primary-like submodules as a new generalization of graded primary ideals and give some basic results about graded primary-like submodules of graded modules. Special attention has been paid, when graded submodules satisfies the gr-primeful property, to and extra properties of these graded submodules.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.4 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000400859en10.22199/issn.0717-6279-3467 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Graded primary ideals Graded primary-like submodules Graded prime submodules, gr-primeful property |
spellingShingle |
Graded primary ideals Graded primary-like submodules Graded prime submodules, gr-primeful property Al-Zoubi,Khaldoun Al-Dolat,Mohammed On graded primary-like submodules of graded modules over graded commutative rings |
description |
Abstract Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded primary-like submodules as a new generalization of graded primary ideals and give some basic results about graded primary-like submodules of graded modules. Special attention has been paid, when graded submodules satisfies the gr-primeful property, to and extra properties of these graded submodules. |
author |
Al-Zoubi,Khaldoun Al-Dolat,Mohammed |
author_facet |
Al-Zoubi,Khaldoun Al-Dolat,Mohammed |
author_sort |
Al-Zoubi,Khaldoun |
title |
On graded primary-like submodules of graded modules over graded commutative rings |
title_short |
On graded primary-like submodules of graded modules over graded commutative rings |
title_full |
On graded primary-like submodules of graded modules over graded commutative rings |
title_fullStr |
On graded primary-like submodules of graded modules over graded commutative rings |
title_full_unstemmed |
On graded primary-like submodules of graded modules over graded commutative rings |
title_sort |
on graded primary-like submodules of graded modules over graded commutative rings |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2021 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000400859 |
work_keys_str_mv |
AT alzoubikhaldoun ongradedprimarylikesubmodulesofgradedmodulesovergradedcommutativerings AT aldolatmohammed ongradedprimarylikesubmodulesofgradedmodulesovergradedcommutativerings |
_version_ |
1718439908918427648 |