A non-regular perfect semigroup (Q1820873)
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scientific article; zbMATH DE number 3995986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A non-regular perfect semigroup |
scientific article; zbMATH DE number 3995986 |
Statements
A non-regular perfect semigroup (English)
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1987
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A congruence \(\theta\) on a semigroup S is perfect if \((a\theta)(b\theta)=(ab)\theta\) for every a,b\(\in S\), and S is perfect when all its congruences are perfect. It is known that all commutative and all finite perfect semigroups are regular. Here it is given an example of a non-regular (cancellative) perfect semigroup.
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regular semigroups
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congruences
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perfect semigroups
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