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Title

ANNIHILATING-IDEAL GRAPH OF C(X)

ANNIHILATING-IDEAL GRAPH OF C(X)
Year: 1401
COI: JR_JAS-9-2_003
Language: EnglishView: 72
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Authors

M. Badie - Department of Mathematics, Jundi-Shapur University of Technology, P.O. Box ۶۴۶۱۵/۳۳۴, Dezful, Iran.

Abstract:

In this article the annihilating-ideal graph of the ring C(X) is studied. We have tried to associate the graph properties of AG(X), the ring properties of C(X) and the topological properties of X. It is shown that X has an isolated point if and only if R is a direct summand of C(X) and this happens if and only if AG(X) is not triangulated. Radius, girth, dominating number and clique number of the AG(X) are investigated. It is proved that c(X) <= dt(AG(X)) ,= w(X) and wAG(X) = χAG(X) = c(X).

Keywords:

Rings of real-valued continuous functions , Annihilating-ideal graph , Clique number , Chromatic number , Cellularity

Paper COI Code

This Paper COI Code is JR_JAS-9-2_003. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1282210/

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Badie, M.,1401,ANNIHILATING-IDEAL GRAPH OF C(X),https://civilica.com/doc/1282210

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  • G. Aalipour, S. Akbari, R. Nikandish, M. J. Nikmehr, and ...
  • F. Aliniaeifard and M. Behboodi, Rings whose annihilating-ideal graphs have ...
  • A. Amini, B. Amini, E. Momtahan, and M. H. Shirdareh ...
  • M. F. Atiyah and I. G. Macdonald, Introduction to commutative ...
  • F. Azarpanah and M. Motamedi, Zero-divisor graph of C(X), Acta ...
  • M. Badie, Comaximal graph of C(X), Commentat. Math. Univ. Carol., ...
  • M. Behboodi and Z. Rakeei, The annihilating-ideal graph of commutative ...
  • M. Behboodi and Z. Rakeei, The annihilating-ideal graph of commutative ...
  • J.A. Bondy and U.S.R. Murty, Graph theory with application, The ...
  • T. Chelvam and K. Selvakumar, On the connectivity of the ...
  • L. Gillman and M. Jerison, Rings of continuous functions, The ...
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  • R. Nikandish and H. R. Maimani, Dominating sets of the ...
  • R. Nikandish, H. R. Maimani, and S. Kiani, Domination number ...
  • S. Willard, General topology., Addison-Wesley Series in Mathematics. Reading, Mass. ...
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