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David Roberts
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You might want to look at Ferrero, "Prime ideals in polynomial rings in several indeterminates", Proc. Amer. Math. Soc. 125 (1997), 67-74, https://doi.org/10.1090/S0002-9939-97-03663-0. I think what he's doing there may be what you're trying to do.

You might want to look at Ferrero, "Prime ideals in polynomial rings in several indeterminates". I think what he's doing there may be what you're trying to do.

You might want to look at Ferrero, "Prime ideals in polynomial rings in several indeterminates", Proc. Amer. Math. Soc. 125 (1997), 67-74, https://doi.org/10.1090/S0002-9939-97-03663-0. I think what he's doing there may be what you're trying to do.

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Dave Benson
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You might want to look at Ferrero, "Prime ideals in polynomial rings in several indeterminates". I think what he's doing there may be what you're trying to do.