Prime ideals in polinomial rings in several indeterminates

If P is a prime ideal of a polynomial ring K[x], where K is a field, then P is determined by an irreducible polynomial in K[x]. The purpose of this paper is to show that any prime ideal of a polynomial ring in n-indeterminates over a not necessarily commutative ring R is determined by its intersecti...

Descripción completa

Detalles Bibliográficos
Autor: Ferrero, Miguel Angel Alberto
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1997
País:Brasil
Institución:Universidade Federal do Rio Grande do Sul (UFRGS)
Repositorio:Repositório Institucional da UFRGS
Idioma:inglés
OAI Identifier:oai:www.lume.ufrgs.br:10183/27486
Acceso en línea:http://hdl.handle.net/10183/27486
Access Level:acceso abierto
Palabra clave:Ideais primos : Aneis polinomiais
Descripción
Sumario:If P is a prime ideal of a polynomial ring K[x], where K is a field, then P is determined by an irreducible polynomial in K[x]. The purpose of this paper is to show that any prime ideal of a polynomial ring in n-indeterminates over a not necessarily commutative ring R is determined by its intersection with R plus n polynomials.