Unibranched prime ideals and going down in PI rings
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- by Phillip Lestmann PDF
- 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.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 191-195
- MSC: Primary 16A33; Secondary 16A38
- DOI: https://doi.org/10.1090/S0002-9939-1981-0609649-2
- MathSciNet review: 609649