# 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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