Embedding semigroups into idempotent generated ones. (Q1885302)
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scientific article; zbMATH DE number 2111516
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Embedding semigroups into idempotent generated ones. |
scientific article; zbMATH DE number 2111516 |
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Embedding semigroups into idempotent generated ones. (English)
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28 October 2004
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In [\textit{F. Pastijn} and \textit{X. Yan}, J. Algebra 163, No. 3, 777--794 (1994; Zbl 0811.20052)] a canonical embedding \(S\to F(S)\) is given which embeds any given semigroup \(S\) into an idempotent generated one. In the present paper the author gives a Rees matrix representation for \(F(S)\) and further explores semigroup properties which are preserved by this embedding.
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idempotent generated semigroups
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Rees matrix semigroups
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extensions
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