Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-12-01

Journal: CZECHOSLOVAK MATHEMATICAL JOURNAL

Included Journals: SCIE、Scopus

Volume: 61

Issue: 4

Page Number: 1023-1036

ISSN: 0011-4642

Key Words: Gaussian integers modulo n; cubic mapping graph; fixed point; semiregularity

Abstract: The article studies the cubic mapping graph Gamma(n) of Z(n)[i], the ring of Gaussian integers modulo n. For each positive integer n > 1, the number of fixed points and the in-degree of the elements (1) over bar and (0) over bar in Gamma(n) are found. Moreover, complete characterizations interms of n are given in which Gamma(2)(n) is semiregular, where Gamma(2)(n) is induced by all the zero-divisors of Z(n)[i].