The Laskerian property, power series rings and Noetherian spectra
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- by Robert Gilmer and William Heinzer PDF
- Proc. Amer. Math. Soc. 79 (1980), 13-16 Request permission
Abstract:
We show that if the power series ring $R[[X]]$ in one indeterminate over a commutative ring R with identity is Laskerian, then R is Noetherian. On the other hand, if $R[[X]]$ is a ZD-ring, then R has Noetherian spectrum, but R need not be Noetherian. We show that, in general, a Laskerian ring has Noetherian spectrum.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 13-16
- MSC: Primary 13E05; Secondary 13J05
- DOI: https://doi.org/10.1090/S0002-9939-1980-0560575-6
- MathSciNet review: 560575