Ingeniería y Ciencia, Vol. 16, Núm. 31 (2020)
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Examinando Ingeniería y Ciencia, Vol. 16, Núm. 31 (2020) por Autor "Reyes, Armando"
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Ítem A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial Type(Universidad EAFIT, 2020-06-19) Reyes, Armando; Hernández-Mogollón, Jason; Universidad Nacional de ColombiaIn 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.