Geodesic
On almost discrete space
Archivum mathematicum, Tome 44 (2008) no. 1, pp. 69-76.

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Let $C(X)$ be the ring of real continuous functions on a completely regular Hausdorff space. In this paper an almost discrete space is determined by the algebraic structure of $C(X)$. The intersection of essential weak ideal in $C(X)$ is also studied.
Classification : 13A30, 54C40
Keywords: essential weak ideal; weak socle; minimal ideal; almost discrete space; scattered space; Stone-Čech compactification; realcompactification 
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Estaji, Ali Akbar. On almost discrete space. Archivum mathematicum, Tome 44 (2008) no. 1, pp. 69-76. http://geodesic.mathdoc.fr/item/ARM_2008__44_1_a7/