Abstract
Motivated by a result of Traverso and Swan on seminormality, we prove that for a ring extension A⊆B, A is subintegrally closed in B if and only if the group of invertible A-submodules of B is canonically isomorphic to the group of invertible A[X]-submodules of B[X]. We also examine a relationship between these two groups in the general case, i.e. when A may not be subintegrally closed in B.
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