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ec-Filters and ec-ideals in the functionally countable subalgebra of C*(X)

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ec-Filters and ec-ideals in the functionally countable subalgebra of C*(X)

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dc.contributor.author Veisi, Amir es_ES
dc.date.accessioned 2019-10-03T07:26:08Z
dc.date.available 2019-10-03T07:26:08Z
dc.date.issued 2019-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/127133
dc.description.abstract [EN] The purpose of this article is to study and investigate ec-filters on X and ec-ideals in C*c (X) in which they are in fact the counterparts of zc-filters on X and zc-ideals in Cc(X) respectively. We show that the maximal ideals of C*c (X) are in one-to-one correspondence with the ec-ultrafilters on X. In addition, the sets of ec-ultrafilters and zc-ultrafilters are in one-to-one correspondence. It is also shown that the sets of maximal ideals of Cc(X) and C*c (X) have the same cardinality. As another application of the new concepts, we characterized maximal ideals of C*c (X). Finally, we show that whether the space X is compact, a proper ideal I of Cc(X) is an ec-ideal if and only if it is a closed ideal in Cc(X) if and only if it is an intersection of maximal ideals of Cc(X). 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 C-completely regular space es_ES
dc.subject Closed ideal es_ES
dc.subject Functionally countable space es_ES
dc.subject Ec-filter es_ES
dc.subject Ec-ideal es_ES
dc.subject Zero-dimensional space es_ES
dc.title ec-Filters and ec-ideals in the functionally countable subalgebra of C*(X) es_ES
dc.type Artículo es_ES
dc.date.updated 2019-10-03T06:47:08Z
dc.identifier.doi 10.4995/agt.2019.11524
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Veisi, A. (2019). ec-Filters and ec-ideals in the functionally countable subalgebra of C*(X). Applied General Topology. 20(2):395-405. https://doi.org/10.4995/agt.2019.11524 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2019.11524 es_ES
dc.description.upvformatpinicio 395 es_ES
dc.description.upvformatpfin 405 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 20
dc.description.issue 2
dc.identifier.eissn 1989-4147
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