Transcendental Extensions

  • Patrick Morandi
Part of the Graduate Texts in Mathematics book series (GTM, volume 167)


In this chapter, we study field extensions that are not algebraic. In the first two sections, we give the main properties of these extensions. In the remaining sections, we focus on finitely generated extensions. We discuss how these extensions arise in algebraic geometry and how their study can lead to geometric information, and we use algebraic analogs of derivations and differentials to study these extensions.


Prime Ideal Function Field Field Extension Coordinate Ring Dence Basis 
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Copyright information

© Springer-Verlag New York, Inc. 1996

Authors and Affiliations

  • Patrick Morandi
    • 1
  1. 1.Department of Mathematical SciencesNew Mexico State UniversityLas CrucesUSA

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