Embedding semigroups in \({\mathcal D}\)-trivial semigroups (Q1070360)
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scientific article; zbMATH DE number 3935338
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Embedding semigroups in \({\mathcal D}\)-trivial semigroups |
scientific article; zbMATH DE number 3935338 |
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Embedding semigroups in \({\mathcal D}\)-trivial semigroups (English)
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1986
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The main purpose of this note is to show that to be embeddable in a congruence-free semigroup (without idempotents) which is \({\mathcal D}\)- trivial, that is, each \({\mathcal D}\)-class is a singleton, it is not sufficient for a semigroup itself to be \({\mathcal D}\)-trivial.
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congruence-free semigroup
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