On central orderings
Goulwen Fichou, Jean-Philippe Monnier, Ronan Quarez · arXiv (Cornell University) · 2023
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 Positivestellensätze in the spirit of Hilbert 17th problem.