Monoids on groups with BN-pairs (Q1824704)
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scientific article; zbMATH DE number 4118615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monoids on groups with BN-pairs |
scientific article; zbMATH DE number 4118615 |
Statements
Monoids on groups with BN-pairs (English)
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1989
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Three axioms connecting the idempotent structure of monoids with their group of units G are given. A monoid satisfying these axioms is called a monoid on G. The aim of the paper is to determine all types of maps \(\lambda\) connecting the idempotent structure of monoids on G with G. Main attention is paid to regular monoids on G whose constructions are specified in more detail. A classification of regular split monoids (this class contains all natural examples) by normal subgroups of Levi factors is given.
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linear monoids
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axioms
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idempotent
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group of units
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regular monoids
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regular split monoids
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Levi factors
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