The center of a regular algebraic monoid (Q1806045)
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scientific article; zbMATH DE number 1356238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The center of a regular algebraic monoid |
scientific article; zbMATH DE number 1356238 |
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The center of a regular algebraic monoid (English)
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4 June 2000
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It is shown that the center \(C(M)\) of an irreducible algebraic monoid \(M\) is unit regular, i.e., for any \(a\in C(M)\) there exists an element \(g\) from the unit group of \(C(M)\) such that \(a=aga\). Moreover if \(M\) is reductive (i.e., the unit group of \(M\) is reductive) then \(C(M)\) is equal to the intersection of all diagonalizable submonoids of \(M\).
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centers
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irreducible algebraic monoids
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unit regular monoids
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unit groups
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diagonalizable submonoids
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