Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588301 | Journal of Algebra | 2008 | 12 Pages |
Abstract
We study the class of 2-dimensional affine k-domains R satisfying ML(R)=k, where k is an arbitrary field of characteristic zero. In particular, we obtain the following result: Let R be a localization of a polynomial ring in finitely many variables over a field of characteristic zero. If ML(R)=K for some field K⊂R such that trdegKR=2, then R is K-isomorphic to K[X,Y,Z]/(XY−P(Z)) for some nonconstant P(Z)∈K[Z].
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Mathematics
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