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On the essentiality and primeness of λ-super socle of C(X)

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On the essentiality and primeness of λ-super socle of C(X)

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dc.contributor.author Mehran, S. es_ES
dc.contributor.author Namdari, M. es_ES
dc.contributor.author Soltanpour, S. es_ES
dc.date.accessioned 2018-10-05T07:44:27Z
dc.date.available 2018-10-05T07:44:27Z
dc.date.issued 2018-10-04
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/109462
dc.description.abstract [EN] Spaces X for which the annihilator of Sλ(X), the λ-super socle of C(X) (i.e., the set of elements of C(X) that cardinality of their cozerosets are less than λ, where λ is a regular cardinal number such that λ≤|X|) is generated by an idempotent are characterized. This enables us to find a topological property equivalent to essentiality of Sλ(X). It is proved that every prime ideal in C(X) containing Sλ(X) is essential and it is an intersection of free prime ideals. Primeness of Sλ(X) is characterized via a fixed maximal ideal of C(X). es_ES
dc.description.sponsorship The authors would like to thank professor O.A.S. Karamzadeh for introducing the topics of this article and for his helpful discussion. The authors are also indebted to the well-informed, meticulous referee for his/her carefully reading the article and giving valuable and constructive comments. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject λ-super socle of C(X) es_ES
dc.subject λ-isolated point es_ES
dc.subject λ-disjoint spaces es_ES
dc.title On the essentiality and primeness of λ-super socle of C(X) es_ES
dc.type Artículo es_ES
dc.date.updated 2018-10-04T12:57:57Z
dc.identifier.doi 10.4995/agt.2018.9058
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Mehran, S.; Namdari, M.; Soltanpour, S. (2018). On the essentiality and primeness of λ-super socle of C(X). Applied General Topology. 19(2):261-268. https://doi.org/10.4995/agt.2018.9058 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2018.9058 es_ES
dc.description.upvformatpinicio 261 es_ES
dc.description.upvformatpfin 268 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 19
dc.description.issue 2
dc.identifier.eissn 1989-4147
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