Finite polynomial orbits in finitely generated domains

DOI10.1007/BF01319041zbMath0897.13024MaRDI QIDQ1376010

Władysław Narkiewicz, Tadeusz Pezda

Publication date: 10 June 1998

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178792

zbMATH Keywords

polynomial orbitsfinitely generated domainspolynomial cycle

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Integral domains (13G05) Polynomials (irreducibility, etc.) (11R09) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Polynomials (11S05)

Related Items (10)

Finite polynomial orbits in quadratic rings ⋮ Unnamed Item ⋮ Cycles for rational maps of good reduction outside a prescribed set ⋮ Polynomial cycles in cubic fields of negative discriminant ⋮ New families satisfying the dynamical uniform boundedness principle over function fields ⋮ Uniform bounds for periods of endomorphisms of varieties ⋮ Finite orbits for rational functions ⋮ Polynomial cycles in certain rings of rationals ⋮ Noncommutative algebraic dynamics: ergodic theory for profinite groups ⋮ Cycles of polynomial mappings in several variables over discrete valuation rings and over \(\mathbb Z\)

Cites Work

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• S-unit equations over number fields
• Cycles of polynomial mappings in several variables
• Polynomial cycles in finitely generated domains
• The number of solutions of decomposable form equations
• Quelques problèmes relatifs aux unités algébriques
• Periodic points on an algebraic variety
• Les points exceptionnels rationnels sur certaine cubique du premier genre
• Polynomial cycles in algebraic number fields
• Polynomial cycles in certain local domains

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