Đồ thị lũy linh trên vành Zn

SUMMARY NILPOTENT GRAPHS OF THE RINGS Zn In [4], Basnet-Sharma-Dutta introduced and studied the concept of the nilpotent graph of a finite commutative ring. In this paper, we calculate the number of connected components of the nilpotent graphs of the rings Zn. Applying this result, we characterize the connective properties and completeness of the nilpotent graphs of the rings Zn. Keyword: Nilpotent element; graph; nilpotent graph; complete graph; connected graph; connected component.