The Picard group of a monoid domain. II (Q1122626)
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scientific article; zbMATH DE number 4106987
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Picard group of a monoid domain. II |
scientific article; zbMATH DE number 4106987 |
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The Picard group of a monoid domain. II (English)
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1990
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[For part I see J. Algebra 115, No.2, 342-351 (1988; Zbl 0651.13009).] Let R be an integral domain and S a nonzero commutative cancellative torsion-free monoid with group of invertible elements H properly contained in S. Then \(Pic(R[H])=Pic(R[S])\) if and only if R[S] is seminormal. This generalizes part I of this work.
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Picard group
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seminormal monoid domain
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invertible elements
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