## 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 image _{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.

Original language | English |
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Article number | 012016 |

Journal | Journal of Physics: Conference Series |

Volume | 1494 |

Issue number | 1 |

DOIs | |

Publication status | Published - 27 May 2020 |

Event | Soedirman''s International Conference on Mathematics and Applied Sciences 2019, SICoMAS 2019 - Purwokerto, Indonesia Duration: 23 Oct 2019 → 24 Oct 2019 |

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