有限交换环零因子图的邻接矩阵(英文)  

Adjacency Matrices of Zero-divisor Graphs of Some Finite Commutative Rings

作　　者：黄琳[1] 陈蔚凝[1] 唐高华[1] 易忠[2] 

机构地区：[1]广西师范学院数学科学学院,广西南宁530023 [2]广西民族师范学院数学与计算机科学系,广西崇左532200

出　　处：《广西师范学院学报（自然科学版）》2013年第1期9-13,共5页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：supported by the National Natural Science Foundation of China(11161006,11171142);the Guangxi Natural Science Foundation(2011GXNSFA018139);Guangxi New Century 1000 Talents Project;Guangxi graduate student education innovation project(2011106030701M06)

摘　　要：研究了有限交换环的零因子图的邻接矩阵,对于任意素数p、q确定了环Zp[i]×Zq[i]的零因子图的邻接矩阵的特征多项式的一些系数。In this paper, we investigate the adjacency matrices of zero divisor graphs of finite commutative rings and determine some coefficients of the characteristic polynomial of the adjacency matrix of the zero-divisor graph of Zp[i]X Zq[i] for any two primes p and q.

关 键 词：零因子图 邻接矩阵 交换环 特征多项式 

分 类 号：O153.3[理学—数学]