SIFAT-SIFAT GRAF PEMBAGI NOL PADA GELANGGANG POLINOM KUOSIEN (Z_p [x])/〈x^(n+1) 〉 ×(Z_q [x])/〈x^(n+1) 〉

Daisyah Alfian Fatahillah, Ni Wayan Switrayni
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Abstract

Zero-divisor graph is an undirectedgraphwhose vertices are zero-divisors of a commutative ring and edges defined as  if and only if .Wicaksono (2013) gave some characteristics of graph zero-divisor in the modulary integer ring. This research aims to represent the zero-divisor elements of the polynomial kuosien ring where are prime numbers and  into a graph called the zero-divisor graph The method used in this research is a deduktive method. The result shows that the zero divisor graph obtained from polynomial kuosien ring is complete bipartit graph with some characteristics related to its girth, ecccentricity, radius and diameter.
零因子图是一种无向图,其顶点是交换环的零因子,边定义为当且仅当。wicaksono(2013)给出了模整数环中图零因子的一些特征。本研究旨在将多项式kusien环的零因子元素表示为素数,并将其表示为零因子图。本研究使用的方法是演绎法。结果表明,由多项式环得到的零因子图是完全的二分图,具有与环的周长、离心率、半径和直径有关的一些特征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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