Chain of prime ideals in formal power series rings
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- by Ada Maria de S. Doering and Yves Lequain PDF
- Proc. Amer. Math. Soc. 88 (1983), 591-594 Request permission
Abstract:
Let $R$ be a Noetherian domain and $P$ a prime ideal of $R$. Then ${R_p}[[{X_1}, \ldots ,{X_n}]]$ has a maximal chain of prime ideals of length $r$ if and only if $R{[[{X_1}, \ldots ,{X_n}]]_{(P,{X_1}, \ldots ,{X_n})}}$ does, if and only if $R{[[{X_1}, \ldots ,{X_n}]]_{(P,{X_1}, \ldots ,{X_n})}}$ does.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 591-594
- MSC: Primary 13A15; Secondary 13C15, 13F25, 13J10
- DOI: https://doi.org/10.1090/S0002-9939-1983-0702281-3
- MathSciNet review: 702281