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   annihilating-ideal graph of c(x)  
   
نویسنده badie m.
منبع journal of algebraic systems - 2022 - دوره : 9 - شماره : 2 - صفحه:203 -217
چکیده    The annihilating-ideal graph of the ring c(x) is studied. it is 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 ag(x) are investigated. it is proved that c(x) ⩽ dt(ag(x)) ⩽ w(x) and !ag(x) = ag(x) = c(x).
کلیدواژه rings of real-valued continuous functions ,annihilating-ideal graph ,clique number ,chromatic number ,cellularity
آدرس jundi-shapur university of technology, department of mathematics, iran
پست الکترونیکی badie@jsu.ac.ir
 
     
   
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