Prime ideals in polynomial rings
in several indeterminates
Author: Miguel Ferrero
Journal: Proc. Amer. Math. Soc. 125 (1997), 67-74
MSC (1991): Primary 16D30, 16S36; Secondary 12E05
MathSciNet review: 1363458
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Abstract: If is a prime ideal of a polynomial ring , where is a field, then is determined by an irreducible polynomial in . The purpose of this paper is to show that any prime ideal of a polynomial ring in -indeterminates over a not necessarily commutative ring is determined by its intersection with plus polynomials.
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Affiliation: Instituto de Matemática, Universidade Federal do Rio Grande do Sul, 91509-900, Porto Alegre, Brazil
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 Científico e Tecnológico (CNPq), Brazil
Communicated by: Ken Goodearl
Article copyright: © Copyright 1997 American Mathematical Society