Manis valuations and Prüfer extensions. I
Manfred KnebuschDepartment of Mathematics University of Regensburg D-93040 Regensburg Germany
Digen ZhangDepartment of Mathematics University of Regensburg D-93040 Regensburg Germany
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. 149–198DOI 10.4171/DM/8