• Anindito Wisnu Susanto Department of Mathematics Education, Faculty of Teacher Training and Education, Sanata Dharma University, Indonesia
  • Dewa Putu Wiadnyana Putra Department of Mathematics Education, Faculty of Teacher Training and Education, Sanata Dharma University, Indonesia
Keywords: Annihilating Ideal, Exact Annihilating Ideal, Graph, Zero Divisor


The existence of annihilator in the ring motivates the emergence of studies on Annihilating Ideal and Exact Annihilating Ideal Graphs. The purpose of this research is to describe the characteristics of an (exact) annihilating ideal of ring . The method used in this research is literature study. The results of this study discuss finiteness, adjacency, connectedness, vertices, and types of  and . Furthermore, the number of vertices of an Annihilating Ideal Graph is determined by the factorization of . The adjacency of two vertices is determined by the divisibleness of . The results also show that  is a subgraph of .  can be represented as a union of several complete graphs.


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How to Cite
A. Susanto and D. P. Putra, “ANNIHILATING IDEAL AND EXACT ANNIHILATING IDEAL GRAPH OF RING Z_n”, BAREKENG: J. Math. & App., vol. 17, no. 3, pp. 1367-1372, Sep. 2023.