Extending real valuations to skew polynomial rings

  • Ángel Granja

    Universidad de León, Spain
  • M. C. Martínez

    Universidad de Valladolid, Spain
  • C. Rodríguez

    Universidad de Léon, Spain
Extending real valuations to skew polynomial rings cover

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Abstract

Let be a division ring, be a variable over , be an endomorphism of , be a -derivation on and the left skew polynomial ring over . We show that the partially ordered set of -compatible real valuations on extending a fixed proper real valuation on has a natural structure of complete parameterized non-metric tree.