Note on symbolic powers and going down
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- by S. McAdam and L. J. Ratliff PDF
- Proc. Amer. Math. Soc. 98 (1986), 199-204 Request permission
Abstract:
For primes $P \subseteq Q$ of a Noetherian ring $R$, we consider when, for all $k \geq 1$, there is an $m$ with ${P^{(m)}} \subseteq {Q^{(k)}}$ and reprove a relevant theorem of Schenzel. If $R$ is a domain, we consider sufficient conditions for $P \subseteq Q$ to satisfy going down for all primes $Q$ containing $P$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 199-204
- MSC: Primary 13C15; Secondary 13A17
- DOI: https://doi.org/10.1090/S0002-9939-1986-0854018-8
- MathSciNet review: 854018