Completely regular semigroups in the variety generated by the bicyclic semigroup (Q1802255)
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scientific article; zbMATH DE number 203151
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Completely regular semigroups in the variety generated by the bicyclic semigroup |
scientific article; zbMATH DE number 203151 |
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Completely regular semigroups in the variety generated by the bicyclic semigroup (English)
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18 July 1993
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The bicyclic semigroup is a semigroup with identity 1 which can be given by the presentation \(\langle a,b; ab = 1\rangle\). It is shown that the variety generated by the bicyclic semigroup contains a completely regular semigroup iff it is an orthogroup (i.e. its idempotents form a subsemigroup) whose maximal subgroups are abelian.
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bicyclic semigroup
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presentation
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variety
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completely regular semigroup
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orthogroup
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idempotents
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maximal subgroups
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