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Prime ideals in polynomial rings in several indeterminates
Authors:Miguel Ferrero
Institution:Instituto de Matemática, Universidade Federal do Rio Grande do Sul, 91509-900, Porto Alegre, Brazil
Abstract:If $P$ is a prime ideal of a polynomial ring $Kx]$, where $K$ is a field, then $P$ is determined by an irreducible polynomial in $Kx]$. 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.

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