On the uniqueness of the coefficient ring in a semigroup ring (Q1111708)
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scientific article; zbMATH DE number 4075407
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the uniqueness of the coefficient ring in a semigroup ring |
scientific article; zbMATH DE number 4075407 |
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On the uniqueness of the coefficient ring in a semigroup ring (English)
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1987
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Some questions concerning the invariance of the coefficient ring of a group ring were investigated by \textit{I. Adjaero} and the author [Can. J. Math. 35, 654-673 (1983; Zbl 0535.16012)]. In this note the author extends results of that paper to a class of semigroup rings. For example, it is shown that if T and R are each finite sums of fields and S is a commutative monoid with finite periodic part, then \(T\simeq R\) if TS\(\simeq RS\).
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isomorphism problem
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semigroup rings
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finite sums of fields
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commutative monoid with finite periodic part
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