Veisi, Amir2019-10-032019-10-032019-10-011576-9402https://riunet.upv.es/handle/10251/127133[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).Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)C-completely regular spaceClosed idealFunctionally countable spaceEc-filterEc-idealZero-dimensional spaceArtículo2019-10-0310.4995/agt.2019.11524Abierto1989-4147