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论文类型：期刊论文

发表时间：2011-12-01

发表刊物：CZECHOSLOVAK MATHEMATICAL JOURNAL

收录刊物：Scopus、SCIE

卷号：61

期号：4

页面范围：1023-1036

ISSN号：0011-4642

关键字：Gaussian integers modulo n; cubic mapping graph; fixed point; semiregularity

摘要：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].