A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial Type

Autor:	Armando Reyes, Jason Hernández-Mogollón
Jazyk:	English<br />Spanish; Castilian
Rok vydání:	2020
Předmět:	Hilbert’s Nullstellensatz skew PBW extension Jacobson ring generic flatness Technology Science Science (General) Q1-390
Zdroj:	Ingeniería y Ciencia, Vol 16, Iss 31 (2020)
Druh dokumentu:	article
ISSN:	1794-9165 2256-4314
DOI:	10.17230/ingciencia.16.31.2
Popis:	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 noncommutative ring theory and non-commutative algebraic geometry.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/156f2938af674e48826521174ef3e272 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF