Comaximal Intersection Graph of Ideals of Rings

The comaximal intersection graph CI(R) of ideals of a ring R is an undirected graph whose vertex set is the collection of all non-trivial (left) ideals of R and any two vertices I and  J are adjacent if and only if I+J=R and I\cap J\neq۰. We study the connectedness of CI(R). We also discuss  independence number, clique number, domination number, chromatic number of CI(R).

کلیدواژه ها:

Maximal ideal ، Artinian ring ، independence number ، Domination number