Unibranched prime ideals and going down in PI rings

Lestmann, Phillip

doi:10.1090/S0002-9939-1981-0609649-2

Unibranched prime ideals and going down in PI rings
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Proc. Amer. Math. Soc. 82 (1981), 191-195 Request permission

Abstract:

The purpose of this paper is to answer the question of whether going down is equivalent to unibranchedness of prime ideals in integral extensions of prime ${\text {PI}}$ rings. We show by example that, in general, the answer is no; and we find an additional condition which, together with going down, implies prime ideals of ${\text {ht}} > 1$ are unibranched.

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