Prime Submodules of Graded Modules

dc.creator	Abu-Dawwas, Rashid
dc.creator	Al-Zoubi, Khaldoun
dc.creator	Bataineh, Malik
dc.date	2013-02-19
dc.identifier	http://www.revistaproyecciones.cl/article/view/1135
dc.identifier	10.4067/S0716-09172012000400004
dc.description	Let G be a group, R be a G-graded ring and M be a G-graded R-module. Suppose P is a prime ideal of Reand g G G. In this article, we defineMg (P) = {m G Mg : Am C PMg for some ideal A of Re satisfying A C P}that is an Re-submodule of Mg, and we investigate some results on this submodule. Also, we introduce a situation where if N is a gr-prime R-submodule of M ,then (Ng : Mg) is a maximal ideal of Re. We close this article by introducing a situation where if N is a gr- R-submodule ofM such that Ne is a weakly prime Re-submodule ofMe,thenNg is a prime Re-submodule of Mg.	es-ES
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	es-ES
dc.relation	http://www.revistaproyecciones.cl/article/view/1135/1148
dc.rights	Derechos de autor 2012 Proyecciones. Journal of Mathematics	es-ES
dc.source	Proyecciones. Journal of Mathematics; Vol 31 No 4 (2012); 355-361	en-US
dc.source	Proyecciones. Revista de Matemática; Vol. 31 Núm. 4 (2012); 355-361	es-ES
dc.source	0717-6279
dc.source	0716-0917
dc.title	Prime Submodules of Graded Modules	es-ES
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Artículo revisado por pares	es-ES