SOME RESULTS ON PRIME AND PRIMARY SUBMODULES

This article is devoted to study some properties of prime and primary submodules. First we characterize prime submodules of free modules and give a primality condition for certain submodules in terms of associated prime ideals. Furthermore, by using symmetric algebra of modules we describe Rees alge...

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Autores principales:	MARCELO,AGUSTÍN, MARCELO,FÉLIX, RODRÍIGUEZ,CÉSAR
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2003
Materias:	Prime and Primary Submodules Radical of Submodules Rees Algebra of Modules
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000300003
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spelling	oai:scielo:S0716-091720030003000032004-03-03SOME RESULTS ON PRIME AND PRIMARY SUBMODULESMARCELO,AGUSTÍNMARCELO,FÉLIXRODRÍIGUEZ,CÉSAR Prime and Primary Submodules Radical of Submodules Rees Algebra of Modules This article is devoted to study some properties of prime and primary submodules. First we characterize prime submodules of free modules and give a primality condition for certain submodules in terms of associated prime ideals. Furthermore, by using symmetric algebra of modules we describe Rees algebras associated to prime sub-modules and provide a computational method to check if some primary submodules of a free module have prime radical.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.22 n.3 20032003-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000300003en10.4067/S0716-09172003000300003
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Prime and Primary Submodules Radical of Submodules Rees Algebra of Modules
spellingShingle	Prime and Primary Submodules Radical of Submodules Rees Algebra of Modules MARCELO,AGUSTÍN MARCELO,FÉLIX RODRÍIGUEZ,CÉSAR SOME RESULTS ON PRIME AND PRIMARY SUBMODULES
description	This article is devoted to study some properties of prime and primary submodules. First we characterize prime submodules of free modules and give a primality condition for certain submodules in terms of associated prime ideals. Furthermore, by using symmetric algebra of modules we describe Rees algebras associated to prime sub-modules and provide a computational method to check if some primary submodules of a free module have prime radical.
author	MARCELO,AGUSTÍN MARCELO,FÉLIX RODRÍIGUEZ,CÉSAR
author_facet	MARCELO,AGUSTÍN MARCELO,FÉLIX RODRÍIGUEZ,CÉSAR
author_sort	MARCELO,AGUSTÍN
title	SOME RESULTS ON PRIME AND PRIMARY SUBMODULES
title_short	SOME RESULTS ON PRIME AND PRIMARY SUBMODULES
title_full	SOME RESULTS ON PRIME AND PRIMARY SUBMODULES
title_fullStr	SOME RESULTS ON PRIME AND PRIMARY SUBMODULES
title_full_unstemmed	SOME RESULTS ON PRIME AND PRIMARY SUBMODULES
title_sort	some results on prime and primary submodules
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2003
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000300003
work_keys_str_mv	AT marceloagustin someresultsonprimeandprimarysubmodules AT marcelofelix someresultsonprimeandprimarysubmodules AT rodriiguezcesar someresultsonprimeandprimarysubmodules
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SOME RESULTS ON PRIME AND PRIMARY SUBMODULES

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