The catenarian property of power series rings over a Prüfer domain

Arnold, J. T.

doi:10.1090/S0002-9939-1985-0792263-X

The catenarian property of power series rings over a Prüfer domain
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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.

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