Fraktal: Jurnal Matematika dan Pendidikan Matematika
Vol 3 No 2 (2022): November 2022

Karakteristik Graf Pembagi Nol Pada Gelanggang Bilangan Bulat Modulo

Rina Juliana (Unknown)



Article Info

Publish Date
07 Dec 2022

Abstract

Zero-divisor graph is a geometric representation of a commutative ring. Zero-divisor graph of ring R that denoted by TR, defined by a graph whose vertices are all elements of zero-divisor set of a ring R, and two distinct vertices a and b are adjacent if and only if ab=0. In this paper, we will study some of the characterizations of the zero-divisor graph of integers modulo ring ( Zn). This study aims to know some forms of zero-divisor graph of ring (Zn ) and its properties. The method that used in this paper is deductive proof, by taking some example of zero-divisor graph of integer modulo ring ( Zn), then generalized the characterization of example. The firts result is if n=p^2, with p is a odd prime number, then the zero-divisor graph of ring is a complete graph. Then the second result is if n=p1p2, with p1 and p2 are different prime numbers, then the zero-divisor graph of ring is a complete bipartite graph and the diameter is 2.

Copyrights © 2022






Journal Info

Abbrev

fraktal

Publisher

Subject

Mathematics

Description

Fraktal: Jurnal Matematika dan Pendidikan Matematika adalah jurnal ilmiah dalam bidang matematika dan pendidikan matematika yang dikelola dan diterbitkan oleh Program Studi Pendidikan Matematika, Fakultas Keguruan dan Ilmu Pendidikan (FKIP), Universitas Nusa Cendana, Kupang, NTT. Ruang lingkup ...