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ANNIHILATING-IDEAL GRAPH OF C(X)

عنوان مقاله: ANNIHILATING-IDEAL GRAPH OF C(X)
شناسه (COI) مقاله: JR_JAS-9-2_003
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:

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

خلاصه مقاله:
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).

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

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1282210/