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Noether Normalization and Applications

  • Gert-Martin Greuel
  • Gerhard Pfister

Abstract

Integral extension of a ring means adjoining roots of monic polynomials over the ring. This is an important tool for studying affine rings, and it is used in many places, for example, in dimension theory, ring normalization and primary decomposition. Integral extensions are closely related to finite maps which, geometrically, can be thought of as projections with finite fibres plus some algebraic conditions. We shall give a constructive introduction with explicit algorithms to these subjects.

Keywords

Prime Ideal Maximal Ideal Integral Domain Polynomial Ring Noetherian Ring 
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 2002

Authors and Affiliations

  • Gert-Martin Greuel
    • 1
  • Gerhard Pfister
    • 1
  1. 1.Department of MathematicsUniversity of KaiserslauternKaiserslauternGermany

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