Abstract

A group is called a ring if the group is a commutative under addition operation and satisfy the distributive and assosiative properties under multiplication operation. Suppose R is a commutative ring with non-zero identity, U is the unit of R, and J(R) is a Jacobson radical. Jacobson graph of a ring R denoted by ℑ R is a graph with a vertex set is R\\J(R) dan edge set is {(a, b)| 1 − ab ∉ U}. The purpose of this research is to construct a Jacobson graph of ring Z 3 n with n > 1. The results show that Jacobson graph of ring Z 3 n is a disconected graph with two components.

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