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Indexed by:期刊论文

Date of Publication:2017-12-01

Journal:JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Included Journals:SCIE、Scopus

Volume:16

Issue:12

ISSN No.:0219-4988

Key Words:Zero-divisor graph; automorphism; matrix ring

Abstract: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).