A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial Type
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,...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Colombia |
| Institución: | Universidad EAFIT |
| Repositorio: | Repositorio EAFIT |
| Idioma: | inglés |
| OAI Identifier: | oai:repository.eafit.edu.co:10784/17662 |
| Acceso en línea: | http://hdl.handle.net/10784/17662 |
| Access Level: | acceso abierto |
| Palabra clave: | Hilbert’s Nullstellensatz Skew PBW extension Jacobson ring Generic flatness Teorema de ceros de Hilbert Extensión PBW torcida Anillo de Jacobson Plenitud genérica |
| Sumario: | 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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