Minimal primes of ideals and integral ring extensions
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- by William Heinzer PDF
- Proc. Amer. Math. Soc. 40 (1973), 370-372 Request permission
Abstract:
It is shown that if $R$ is a commutative ring with identity having the property that ideals in $R$ have only a finite number of minimal primes, then a finite $R$-algebra again has this property. It is also shown that an almost finite integral extension of a noetherian integral domain has noetherian prime spectrum.References
- William Heinzer, A note on rings with noetherian spectrum, Duke Math. J. 37 (1970), 573–578. MR 263795
- Masayoshi Nagata, Local rings, Interscience Tracts in Pure and Applied Mathematics, No. 13, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0155856
- Jack Ohm and R. L. Pendleton, Rings with noetherian spectrum, Duke Math. J. 35 (1968), 631–639. MR 229627
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 370-372
- MSC: Primary 13A15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0319962-X
- MathSciNet review: 0319962