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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：哈尔滨工业大学
学位：博士
所在单位：数学科学学院
电子邮箱：jznan@dlut.edu.cn
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Automorphisms of the zero-divisor graph of 2 x 2 matrix ring over Z(ps)
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论文类型：期刊论文
发表时间：2017-12-01
发表刊物：JOURNAL OF ALGEBRA AND ITS APPLICATIONS
收录刊物：SCIE、Scopus
卷号：16
期号：12
ISSN号：0219-4988
关键字：Zero-divisor graph; automorphism; matrix ring
摘要：Let Z(ps) be the ring of integers modulo p(s) where p is a prime and s(>= 1) is a positive integer, R = M-2x2(Z(ps)) the 2 x 2 matrix ring over Z(ps). The zero-divisor graph of R, written as Gamma(R), is a directed graph whose vertices are nonzero zero-divisors of R, and there is a directed edge from a vertex A to a vertex B if and only if AB = 0. In this paper, we completely determine the automorphisms of Gamma(R).