Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2017-12-01

Journal: JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 16

Issue: 12

ISSN: 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).