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arXiv · 1901.01088

Dynamics of the $a$-map over residually finite Dedekind Domains and applications

Claudio Qureshi·Lucas Reis
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Abstract

Let $\mathfrak D$ be a residually finite Dedekind domain, $a\in \mathfrak D$ be a nonzero element and $\mathfrak n$ be a nonzero ideal of $\mathfrak D$. In this paper we describe the dynamics of the map $x\mapsto ax$ over the quotient ring $\mathfrak D/\mathfrak n$. We further present some applications of our main result.

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Claudio Qureshi, Lucas Reis. 2019-01-04. Dynamics of the $a$-map over residually finite Dedekind Domains and applications. https://arxiv.org/abs/1901.01088

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