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Indexed by:期刊论文

Date of Publication:2011-12-01

Journal:CZECHOSLOVAK MATHEMATICAL JOURNAL

Included Journals:Scopus、SCIE

Volume:61

Issue:4

Page Number:1023-1036

ISSN No.: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].