The catenarian property of power series rings over a Prüfer domain

J. T. Arnold

Source record

Source: Crossref

Published: Aug 1, 1985

DOI: 10.1090/s0002-9939-1985-0792263-x

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Source abstract

Let D D be a Prüfer domain that has the SFT-property. It is shown that the power series ring D [ [ x ] ] D[[x]] is catenarian. If n > 1 n > 1 and dim D > 1 D > 1 then the ring D [ [ x 1 , … , x n ] ] D[[{x_1}, \ldots ,{x_n}]] is not catenarian.

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