CASSOU-NOGUÈS, Pierrette; DAIGLE, Daniel

doi:10.1016/j.jalgebra.2016.05.006

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CASSOU-NOGUÈS, Pierrette
Institut de Mathématiques de Bordeaux [IMB]

DAIGLE, Daniel
Department of Mathematics

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Journal of Algebra. 2016, vol. 461, p. 129-163

Elsevier

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Let k be a field. We study infinite strictly descending sequences A0⊃A1⊃⋯ of rings where each Ai is a polynomial ring in two variables over k, the aim being to describe those sequences satisfying the property that their intersection is different from k . We give a complete answer in characteristic zero, and partial results in arbitrary characteristic. We apply those results to the study of dominant morphisms A2→An and their factorizations, where n∈{1,2} and An is the affine n-space over k.< Leer menos

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Affine plane

Polynomial morphism

Birational morphism

Polynomial ring

Rational polynomial

Field generator

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Sets of polynomial rings in two variables and factorizations of polynomial morphisms

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