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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Autores principales: Al-Zoubi,Khaldoun, Al-Dolat,Mohammed
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000400859
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spelling 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
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