When is the super socle of C(X) prime?

Let SCF(X) denote the ideal of C(X) consisting of functions which are zero everywhere except on a countable number of points of X. It is generalization of the socle of C(X) denoted by CF(X).  Using this concept we extend some of the basic results concerning CF(X) to SCF(X).  In particular, we charac...

Full description

Bibliographic Details
Main Authors: S. Ghasemzadeh, M. Namdari
Format: Article
Language:English
Published: Universitat Politècnica de València 2019-04-01
Series:Applied General Topology
Subjects:
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/10731