Separable semigroup algebras (Q1061236)
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scientific article; zbMATH DE number 3908711
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Separable semigroup algebras |
scientific article; zbMATH DE number 3908711 |
Statements
Separable semigroup algebras (English)
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1984
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Let K be a commutative ring and let S be a semigroup. Assume that the semigroup ring KS has an identity. Necessary and sufficient conditions (on S) are found for KS to be K-separable. They coincide with those involved in the description of semisimple artinian semigroup algebras [\textit{W. D. Munn}, Proc. Camb. Philos. Soc. 51, 1-15 (1955; Zbl 0064.020)].
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semigroup ring
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K-separable
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semisimple artinian semigroup algebras
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