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

• Autorzy: T. Pezda
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Polynomial cycles; quadratic integers; 11R09; 11R11; 11E05

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 2
• Strony: 294-331

Daty

wydano

2004-04-01

online

2004-04-01

Twórcy

autor

T. Pezda

• University of Wroclaw

Bibliografia

• [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.
• [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
• [5] [Pe3] T.Pezda: “Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals (II)”, submitted.

Identyfikatory

DOI

10.2478/BF02476545