Cycles of polynomial mappings in two variables over rings of integers in quadratic fields

T. Pezda

Open Mathematics (2004)

  • Volume: 2, Issue: 2, page 294-331
  • ISSN: 2391-5455

Abstract

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We find all possible cycle-lengths for polynomial mappings in two variables over rings of integers in quadratic extensions of rationals.

How to cite

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T. Pezda. "Cycles of polynomial mappings in two variables over rings of integers in quadratic fields." Open Mathematics 2.2 (2004): 294-331. <http://eudml.org/doc/268921>.

@article{T2004,
abstract = {We find all possible cycle-lengths for polynomial mappings in two variables over rings of integers in quadratic extensions of rationals.},
author = {T. Pezda},
journal = {Open Mathematics},
keywords = {11R09; 11R11; 11E05},
language = {eng},
number = {2},
pages = {294-331},
title = {Cycles of polynomial mappings in two variables over rings of integers in quadratic fields},
url = {http://eudml.org/doc/268921},
volume = {2},
year = {2004},
}

TY - JOUR
AU - T. Pezda
TI - Cycles of polynomial mappings in two variables over rings of integers in quadratic fields
JO - Open Mathematics
PY - 2004
VL - 2
IS - 2
SP - 294
EP - 331
AB - We find all possible cycle-lengths for polynomial mappings in two variables over rings of integers in quadratic extensions of rationals.
LA - eng
KW - 11R09; 11R11; 11E05
UR - http://eudml.org/doc/268921
ER -

References

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  1. [1] [Ba] G.Baron: preprint, 1990. 
  2. [2] [Bo] J.Boduch: MA thesis, The University of Wroclaw, Wroclaw, 1990. 
  3. [3] [Pe1] T.Pezda: “On cycles and orbits of polynomial mappings Z 2→Z 2”, Acta Mathematica et Informatica Universitatis Ostraviensis, Vol. 10, (2002), pp. 95–102. Zbl1057.11016
  4. [4] [Pe2] T.Pezda: “Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals”, Acta Arith., Vol. 108, No. 2, (2003), pp. 127–146. http://dx.doi.org/10.4064/aa108-2-4 Zbl1020.11066
  5. [5] [Pe3] T.Pezda: “Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals (II)”, submitted. Zbl1197.37143

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