The catenarian property of power series rings over a Prüfer domain
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- by J. T. Arnold PDF
- Proc. Amer. Math. Soc. 94 (1985), 577-580 Request permission
Abstract:
Let $D$ be a Prüfer domain that has the SFT-property. It is shown that the power series ring $D[[x]]$ is catenarian. If $n > 1$ and dim $D > 1$ then the ring $D[[{x_1}, \ldots ,{x_n}]]$ is not catenarian.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 577-580
- MSC: Primary 13C15; Secondary 13F05, 13F25
- DOI: https://doi.org/10.1090/S0002-9939-1985-0792263-X
- MathSciNet review: 792263