Prime ideals in polynomial rings
in several indeterminates
Proc. Amer. Math. Soc. 125 (1997), 67-74
Primary 16D30, 16S36; Secondary 12E05
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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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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
This research was supported by a grant given by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Brazil
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