On the graded classical prime spectrum of a graded module

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 and study a new topology on Cl.Specg(M), the collection of all graded classical prime submodules of M, called the Zariski-like topology. Then we investigate the relati...

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Autores principales:	Al-Zoubi,Khaldoun, Jaradat,Malik
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2018
Materias:	Graded classical prime submodule graded classical prime spectrum Zariski topology.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000300519
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spelling	oai:scielo:S0716-091720180003005192018-10-10On the graded classical prime spectrum of a graded moduleAl-Zoubi,KhaldounJaradat,Malik Graded classical prime submodule graded classical prime spectrum Zariski topology. 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 and study a new topology on Cl.Specg(M), the collection of all graded classical prime submodules of M, called the Zariski-like topology. Then we investigate the relationship between algebraic properties of M and topological properties of Cl.Specg(M). Moreover, we study Cl.Specg(M) from point of view of spectral space.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.3 20182018-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000300519en10.4067/S0716-09172018000300519
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Graded classical prime submodule graded classical prime spectrum Zariski topology.
spellingShingle	Graded classical prime submodule graded classical prime spectrum Zariski topology. Al-Zoubi,Khaldoun Jaradat,Malik On the graded classical prime spectrum of a graded module
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 and study a new topology on Cl.Specg(M), the collection of all graded classical prime submodules of M, called the Zariski-like topology. Then we investigate the relationship between algebraic properties of M and topological properties of Cl.Specg(M). Moreover, we study Cl.Specg(M) from point of view of spectral space.
author	Al-Zoubi,Khaldoun Jaradat,Malik
author_facet	Al-Zoubi,Khaldoun Jaradat,Malik
author_sort	Al-Zoubi,Khaldoun
title	On the graded classical prime spectrum of a graded module
title_short	On the graded classical prime spectrum of a graded module
title_full	On the graded classical prime spectrum of a graded module
title_fullStr	On the graded classical prime spectrum of a graded module
title_full_unstemmed	On the graded classical prime spectrum of a graded module
title_sort	on the graded classical prime spectrum of a graded module
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000300519
work_keys_str_mv	AT alzoubikhaldoun onthegradedclassicalprimespectrumofagradedmodule AT jaradatmalik onthegradedclassicalprimespectrumofagradedmodule
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On the graded classical prime spectrum of a graded module

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