Prime ideals in polinomial rings in several indeterminates

AUTOR(ES)

Ferrero, Miguel Angel Alberto

DATA DE PUBLICAÇÃO

2011

RESUMO

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.

ASSUNTO(S)

ideais primos : aneis polinomiais

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