On almost discrete space
Archivum Mathematicum (2008)
- Volume: 044, Issue: 1, page 69-76
- ISSN: 0044-8753
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topEstaji, Ali Akbar. "On almost discrete space." Archivum Mathematicum 044.1 (2008): 69-76. <http://eudml.org/doc/250289>.
@article{Estaji2008,
abstract = {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.},
author = {Estaji, Ali Akbar},
journal = {Archivum Mathematicum},
keywords = {essential weak ideal; weak socle; minimal ideal; almost discrete space; scattered space; Stone-Čech compactification; realcompactification; essential weak ideal; weak socle; minimal ideal; almost discrete space; scattered space; Stone-Čech compactification; real compactification},
language = {eng},
number = {1},
pages = {69-76},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On almost discrete space},
url = {http://eudml.org/doc/250289},
volume = {044},
year = {2008},
}
TY - JOUR
AU - Estaji, Ali Akbar
TI - On almost discrete space
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 1
SP - 69
EP - 76
AB - 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.
LA - eng
KW - essential weak ideal; weak socle; minimal ideal; almost discrete space; scattered space; Stone-Čech compactification; realcompactification; essential weak ideal; weak socle; minimal ideal; almost discrete space; scattered space; Stone-Čech compactification; real compactification
UR - http://eudml.org/doc/250289
ER -
References
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