Kaiser, Tobias (2007) Real closed graded fields. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 24 (2). pp. 107-120. ISSN 0167-8094,
Full text not available from this repository. (Request a copy)Abstract
We investigate homogeneous orderings on G-graded rings where G is an arbitrary ordered abelian group. For this we introduce the notion of real closed graded fields. We generalize the Artin-Schreier characterization of real closed fields to the graded context. We also characterize real closed graded fields in terms of the group G and in terms of its homogeneous elements of degree 0.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; homogeneous orderings; graded fields; real closure |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2020 09:17 |
| Last Modified: | 14 Dec 2020 09:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/32849 |
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