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A two-dimensional domain whose integral closure is not t-linked. (English) Zbl 1033.13005

Summary: We construct a two-dimensional domain \(D\) having two nonzero \(v\)-coprime elements \(a\), \(b\) such that \(a\) and \(b\) are not \(v\)-coprime in the integral closure of \(D\).

MSC:

13G05 Integral domains
13B22 Integral closure of commutative rings and ideals
13A18 Valuations and their generalizations for commutative rings
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