The iteration digraphs of finite commutative rings
| Autor: | Yangjiang WEI, Gaohua TANG |
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| Jazyk: | turečtina |
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Volume: 39, Issue: 6 872-883 Turkish Journal of Mathematics |
| ISSN: | 1300-0098 1303-6149 |
| Popis: | For a finite commutative ring $S$ (resp., a finite abelian group $S$) and a positive integer $k\geqslant2$, we construct an iteration digraph $G(S, k)$ whose vertex set is $S$ and for which there is a directed edge from $a\in S$ to $b\in S$ if $b=a^k$. We generalize some previous results of the iteration digraphs from the ring $\mathbb{Z}_n$ of integers modulo $n$ to finite commutative rings, and establish a necessary and sufficient condition for $G(S, k_1)$ and $G(S, k_2)$ to be isomorphic for any finite abelian group $S$. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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