A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial Type
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Keywords
Hilbert’s Nullstellensatz, skew PBW extension, Jacobson ring, generic flatness
Abstract
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.
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References
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Article Details
Armando Reyes, Universidad Nacional de Colombia
Doctor en Ciencias Matemáticas. Profesor del Departamento de Matemáticas, Universidad Nacional de Colombia, sede Bogotá. Ver perfil en Google Académico
Jason Hernández-Mogollón, Universidad Nacional de Colombia
Magíster en Matemáticas. Estudiante de Doctorado en Ciencias- Matemáticas en Universidad Nacional de Colombia, sede Bogotá.
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