Cycles of polynomials in algebraically closed fields of positive characteristic (II)

T. Pezda

Displaying similar documents to “Cycles of polynomials in algebraically closed fields of positive characteristic (II)”

Cycles of polynomials in algebraically closed fields of positive characteristic

T. Pezda (1994)

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Brunotte, Horst (2009)

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On the computation of the GCD of 2-D polynomials

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On some issues concerning polynomial cycles

Tadeusz Pezda (2013)

Communications in Mathematics

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We consider two issues concerning polynomial cycles. Namely, for a discrete valuation domain $R$ of positive characteristic (for $N \geq 1$ ) or for any Dedekind domain $R$ of positive characteristic (but only for $N \geq 2$ ), we give a closed formula for a set $𝒞 Y C L (R, N)$ of all possible cycle-lengths for polynomial mappings in $R^{N}$ . Then we give a new property of sets $𝒞 Y C L (R, 1)$ , which refutes a kind of conjecture posed by W. Narkiewicz.