Prime ideals in polynomial rings in several indeterminates
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- by Miguel Ferrero PDF
- Proc. Amer. Math. Soc. 125 (1997), 67-74 Request permission
Abstract:
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.References
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Additional Information
- Miguel Ferrero
- Affiliation: Instituto de Matemática, Universidade Federal do Rio Grande do Sul, 91509-900, Porto Alegre, Brazil
- Email: Ferrero@if.ufrgs.br
- Received by editor(s): March 15, 1995
- Received by editor(s) in revised form: July 28, 1995
- Additional Notes: This research was supported by a grant given by Conselho Nacional de Desenvolvimento CientĂfico e TecnolĂłgico (CNPq), Brazil
- Communicated by: Ken Goodearl
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 67-74
- MSC (1991): Primary 16D30, 16S36; Secondary 12E05
- DOI: https://doi.org/10.1090/S0002-9939-97-03663-0
- MathSciNet review: 1363458