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

JOURNAL OF NUMBER THEORY

卷:204

Article

Qureshi, Claudio¹  Reis, Lucas² 

[1] Univ Republica, Fac Ingn, Inst Matemat & Estadist, Montevideo 11300, Uruguay

[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil

关键词: Finite dynamical systems;    Arithmetic dynamics;    Dedekind domain;    Residually finite ring;    Finite fields;   

DOI  :  10.1016/j.jnt.2019.03.018

来源: Elsevier

【 摘 要 】

Let be a residually finite Dedekind domain, a is an element of D be a nonzero element and n be a nonzero ideal of D. In this paper we describe the dynamics of the map x -> ax over the quotient ring D/n. We further present some applications of our main result. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free