On central orderings
We define the notion of central orderings for a general commutative ring $A$ which generalizes the notion of central points of irreducible real algebraic varieties. We study a central and a precentral loci which both live in the real spectrum of the ring $A$ and allow to state central Positivestelle...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We define the notion of central orderings for a general commutative ring $A$
which generalizes the notion of central points of irreducible real algebraic
varieties. We study a central and a precentral loci which both live in the real
spectrum of the ring $A$ and allow to state central Positivestellens\"atze in
the spirit of Hilbert 17th problem. |
|---|---|
| DOI: | 10.48550/arxiv.2307.04430 |