2023/07/10 by Goulwen Fichou, Fichou, Goulwen, Jean-Philippe Monnier +3
Computer Science · Mathematics · #06F25 #13A99 #14P99 #26C99 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2307.04430
openalex publication_date 2023/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.