Abstract

REYES, Armando  and  HERNANDEZ-MOGOLLON, Jason. A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial Type. ing.cienc. [online]. 2020, vol.16, n.31, pp.27-52. ISSN 1794-9165.  https://doi.org/10.17230/ingciencia.16.31.2.

In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew Poincaré-Birkhoff-Witt extensions. Once this is done, we illustrate the Nullstellensatz with examples appearing in non-commutative ring theory and non-commutative algebraic geometry.

Keywords : Hilbert’s Nullstellensatz; skew PBW extension; Jacobson ring; generic flatness.

        · abstract in Spanish     · text in English     · English ( pdf )