Zariski topology on the spectrum of graded classical prime submodules

Yousefian Darani, Ahmad; Motmaen, Shahram

doi:10.4995/agt.2013.1586

Zariski topology on the spectrum of graded classical prime submodules

dc.contributor.author	Yousefian Darani, Ahmad	es_ES
dc.contributor.author	Motmaen, Shahram	es_ES
dc.date.accessioned	2013-10-16T10:15:37Z
dc.date.available	2013-10-16T10:15:37Z
dc.date.issued	2013-10-01
dc.date.updated	2013-10-16T07:01:28Z
dc.description.abstract	[EN] Let R be a G-graded commutative ring with identity and let M be a graded R-module. A proper graded submodule N of M is called graded classical prime if for every a, b ¿ h(R), m ¿ h(M), whenever abm ¿ N, then either am ¿ N or bm ¿ N. The spectrum of graded classical prime submodules of M is denoted by Cl.Specg(M). We topologize Cl.Specg (M) with the quasi-Zariski topology, which is analogous to that for Specg(R).	en_EN
dc.description.accrualMethod	SWORD	es_ES
dc.description.bibliographicCitation	Yousefian Darani, A.; Motmaen, S. (2013). Zariski topology on the spectrum of graded classical prime submodules. Applied General Topology. 14(2):159-169. https://doi.org/10.4995/agt.2013.1586	es_ES
dc.description.issue	2
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dc.description.upvformatpfin	169	es_ES
dc.description.upvformatpinicio	159	es_ES
dc.description.volume	14
dc.identifier.doi	10.4995/agt.2013.1586
dc.identifier.eissn	1989-4147
dc.identifier.issn	1576-9402
dc.identifier.uri	https://riunet.upv.es/handle/10251/32889
dc.language	Inglés	es_ES
dc.publisher	Editorial Universitat Politècnica de València
dc.relation.ispartof	Applied General Topology
dc.relation.publisherversion	https://doi.org/10.4995/agt.2013.1586	es_ES
dc.relation.references	10.5556/j.tkjm.38.2007.77	es_ES
dc.relation.references	10.1080/00927879708825840	es_ES
dc.relation.references	10.1017/CBO9780511529986	es_ES
dc.relation.references	10.1112/jlms/s2-34.2.212	es_ES
dc.relation.references	10.1142/S0219498809003369	es_ES
dc.rights	Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)	es_ES
dc.rights.accessRights	Abierto	es_ES
dc.subject	Graded prime ideal	es_ES
dc.subject	Zariski topology	es_ES
dc.subject	quasi-Zariski topology	es_ES
dc.title	Zariski topology on the spectrum of graded classical prime submodules	es_ES
dc.type	Artículo	es_ES
dspace.entity.type	Publication
upv.uuid	bac6806a-af85-44c4-9bca-e614f7a3273d	es_ES

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Applied General Topology - Vol 14, No 2 (2013)