Knebusch, Manfred and Zhang, Digen (2005) Convexity, valuations and Pruefer extensions in real algebra. DOCUMENTA MATHEMATICA, 10. pp. 1-109. ISSN 1431-0643,
Full text not available from this repository.Abstract
We analyse the interplay between real valuations, Prufer extensions and convexity with respect to various preorderings on a given commutative ring. We study all this first in preordered rings in general, then in f-rings. Most often Prufer extensions and real valuations abound whenever a preordering is present. The next logical step, to focus on the more narrow class of real closed rings, is not yet taken, except in some examples.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COMMUTATIVE RINGS; HOLOMORPHY RING; ORDERED RINGS; POWERS; PLACES; SUMS; valuation; Prufer extension; real holomorphy ring; convex subring |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Manfred Knebusch |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Jun 2021 05:33 |
| Last Modified: | 02 Jun 2021 05:33 |
| URI: | https://pred.uni-regensburg.de/id/eprint/36676 |
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