On Lojasiewicz's inequality and the Nullstellensatz for rings of semialgebraic functions
In this article we present versions of Lojasiewicz's inequality and the Nullstellensatz for the ring of bounded semialgebraic functions on an arbitrary semialgebraic set M. We also prove that the classical Lojasiewicz inequality and Nullstellensatz for the ring of semialgebraic functions on a s...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/33473 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/33473 |
| Access Level: | acceso abierto |
| Palabra clave: | 512 Semialgebraic set Semialgebraic function Lojasiewicz's inequality Nullstellensatze Locally compact semialgebraic set z-ideal z*-ideal Radical ideal Prime ideal Maximal ideal Fixed ideal Free ideal Álgebra 1201 Álgebra |
| Sumario: | In this article we present versions of Lojasiewicz's inequality and the Nullstellensatz for the ring of bounded semialgebraic functions on an arbitrary semialgebraic set M. We also prove that the classical Lojasiewicz inequality and Nullstellensatz for the ring of semialgebraic functions on a semialgebraic set M work if and only if M is locally compact. |
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