Reductive groups and regular semigroups (Q790948)
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scientific article; zbMATH DE number 3849499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reductive groups and regular semigroups |
scientific article; zbMATH DE number 3849499 |
Statements
Reductive groups and regular semigroups (English)
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1984
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Let S be a connected linear algebraic monoid with group of units G. Suppose that the underlying field is algebraically closed and of characteristic zero. It is shown that S is regular if and only if the closure of the radical of G is a Clifford semigroup. If further, S has a zero, then S is regular if and only if G is a reductive group.
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connected linear algebraic monoid
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group of units
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Clifford semigroup
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reductive group
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0.91592276
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