Finite polynomial orbits in finitely generated domains |
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Authors: | W Narkiewicz T Pezda |
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Institution: | (1) Mathematical Institute, University of Wrocaw, Pl. Grunwaldzki 2-4, PL-50384 Wrocaw, Poland |
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Abstract: | LetR be a commutative domain of zero characteristic and letf(X) be a polynomial with coefficients inR. It is shown that all finite orbits inR. under the mapping induced byR have their cardinalities bounded by a constant depending onR but not onf. In the case whenR is the ring of all integers in an algebraic number field this constant is effectively determined. |
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Keywords: | 11S05 11R09 58F08 58F20 |
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