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Extensions of Valuations to Quantized Algebras

  • Hidetoshi Marubayashi
  • Fred Van Oystaeyen
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2059)

Abstract

We look at skewfields obtained as total quotient rings of algebras defined by generators and relations. It is of particular interest to consider so-called quantized algebras stemming from noncommutative geometry because we hope to use valuation theory in the construction of a kind of divisor theory in noncommutative geometry.

Keywords

Hopf Algebra Valuation Ring Noncommutative Geometry Weyl Algebra Residue Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Hidetoshi Marubayashi
    • 1
  • Fred Van Oystaeyen
    • 2
  1. 1.Faculty of Science and Engineering ShidoTokushima Bunri UniversitySanuki CityJapan
  2. 2.Mathematics and Computer ScienceUniversity of AntwerpAntwerpBelgium

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