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

Open Mathematics (2004)

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

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topT. 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

top- [1] [Ba] G.Baron: preprint, 1990.
- [2] [Bo] J.Boduch: MA thesis, The University of Wroclaw, Wroclaw, 1990.
- [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] [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] [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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