Knebusch, Manfred (2007) Positivity and convexity in rings of fractions. POSITIVITY, 11 (4). pp. 639-686. ISSN 1385-1292,
Full text not available from this repository. (Request a copy)Abstract
Given a commutative ring A equipped with a preordering A(+) (in the most general sense, see below), we look for a fractional ring extension (= "ring of quotients" in the sense of Lambek et al. [L]) as big as possible such that A+ extends to a preordering R+ of R (i.e. with A boolean AND R+ = A(+)) in a natural way. We then ask for subextensions A C B of A C R such that A is convex in B with respect to B+ := B boolean AND R+.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | POLYNOMIALS; QUOTIENTS; FIELDS; POWERS; SUMS; preordered ring extension; positively dense set; convexity cover; positivity divisor; convexity divisor |
| Subjects: | 500 Science > 510 Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Dec 2020 11:17 |
| Last Modified: | 01 Dec 2020 11:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/32039 |
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