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.
@article{108097,
author = {Ali Akbar Estaji},
title = {On almost discrete space},
journal = {Archivum Mathematicum},
volume = {044},
year = {2008},
pages = {69-76},
zbl = {1212.54056},
mrnumber = {2431232},
language = {en},
url = {http://dml.mathdoc.fr/item/108097}
}
Estaji, Ali Akbar. On almost discrete space. Archivum Mathematicum, Tome 044 (2008) pp. 69-76. http://gdmltest.u-ga.fr/item/108097/
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