Manis valuations and Prüfer extensions. I

  • Manfred Knebusch

    Department of Mathematics University of Regensburg D-93040 Regensburg Germany
  • Digen Zhang

    Department of Mathematics University of Regensburg D-93040 Regensburg Germany
Manis valuations and Prüfer extensions. I cover
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Abstract

We call a commutative ring extension Prüfer, if is an -Prüfer ring in the sense of Griffin (Can. J. Math. 26 (1974)). These extensions relate to Manis valuations in much the same way as Prüfer domains to Krull valuations. We develop a basic theory of Prüfer extensions and give some examples. In the introduction we try to explain why Prüfer extensions deserve interest from a geometric viewpoint.

Cite this article

Manfred Knebusch, Digen Zhang, Manis valuations and Prüfer extensions. I. Doc. Math. 1 (1996), pp. 149–198

DOI 10.4171/DM/8