Nil right ideals in inverse semigroup algebras (Q1184171)
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scientific article; zbMATH DE number 34204
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nil right ideals in inverse semigroup algebras |
scientific article; zbMATH DE number 34204 |
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Nil right ideals in inverse semigroup algebras (English)
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28 June 1992
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Improving earlier results and techniques of his own, the author shows that the semigroup algebra \(F[S]\) of an inverse semigroup \(S\) over a field \(F\) has no nonzero nil right ideals provided that \(\text{char}(F)=0\) or is a prime that is not the order of an element in a subgroup of \(S\).
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semigroup algebra
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inverse semigroup
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nil right ideals
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