CONSTRUCTIVE KRULL DIMENSION I: INTEGRAL EXTENSIONS

Author:

COQUAND THIERRY1,DUCOS LIONEL2,LOMBARDI HENRI3,QUITTÉ CLAUDE2

Affiliation:

1. Chalmers, University of Göteborg, Sweden

2. Laboratoire de Mathématiques, SP2MI, Boulevard 3, Teleport 2, BP 179, 86960 FUTUROSCOPE Cedex, France

3. Equipe de Mathématiques, CNRS UMR 6623, UFR des Sciences et Techniques, Université de Franche-Comté, 25 030 BESANCON cedex, France

Abstract

We give a constructive approach to the well known classical theorem saying that an integral extension doesn't change the Krull dimension.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Reference14 articles.

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3. T. Coquand and H. Lombardi, Commutative Ring Theory and Applications, Lecture Notes in Pure and Applied Mathematics 231, eds. M. Fontana, S.E. Kabbaj and S. Wiegand (M. Dekker, 2002) pp. 477–499.

4. A Short Proof for the Krull Dimension of a Polynomial Ring

5. Generating non-Noetherian modules constructively

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