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polynomial cycles; discrete valuation domains; Dedekind rings

References:

[1] Narkiewicz, W.: **Polynomial Mappings, Lecture Notes in Mathematics, vol. 1600**. 1995, Springer-Verlag, Berlin. MR 1367962

[2] Pezda, T.: **Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals**. Acta Arith., 108, 2, 2003, 127-146. DOI 10.4064/aa108-2-4 | MR 1974518 | Zbl 1020.11066

[3] Pezda, T.: **Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals, II**. Monatsh. Math., 145, 2005, 321-331. DOI 10.1007/s00605-004-0290-z | MR 2162350 | Zbl 1197.37143

[4] Silverman, J.H.: **The Arithmetic of Dynamical Systems, Graduate Texts in Mathematics, No. 241**. 2007, Springer-Verlag. DOI 10.1007/978-0-387-69904-2_5 | MR 2316407

[5] Zieve, M.: **Cycles of Polynomial Mappings**. PhD thesis, 1996, University of California at Berkeley. MR 2694837