Author/Authors :
Saha, Manideepa Department of Mathematics - Presidency University, Kolkata, India , Biswas, Sucharita Department of Mathematics - Presidency University, Kolkata, India , Das, Angsuman Department of Mathematics - Presidency University, Kolkata, India
Abstract :
The annihilating-ideal graph of a commutative ring R with unity is defined as the graph AG(R) whose vertex set is the set of all non-zero ideals with non-zero annihilators and two distinct vertices I and J are adjacent if and only if IJ=0. Nikandish et.al. proved that AG(Zn) is weakly perfect. In this short paper, we characterize n for which AG(Zn) is perfect.
