Abstract
In the setting A ⊂ B ⊂ A[ x], if B is a Krull domain with torsion class group, so is A. Further relations are discussed, C( B) is proved to be an extension of C( A) by a finite group. The structure of B is described. Some examples are provided for the non-torsion class group case. Also, some conditions are stated under which B = A[ f] for some element f in A[ x].
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