Jim Coykendall and Tiberiu Dumitrescu:An infinite product of formal power series, p.31-36

Abstract:

We extend the construction given by the first author which produces SFT domains with non-SFT power series extension. We also extend a technique initiated by Kang and Park, to produce integral domains $D$ with $D[[X]][K]$ being infinite-dimensional, where $K$ is the quotient field of $D$.

Key Words: Integral domain, prime ideal.

2000 Mathematics Subject Classification: Primary: 13A15,
Secondary: 13B22, 13F05.

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