The idempotent-separating degree of a block-group. (Q927283)
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scientific article; zbMATH DE number 5284770
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The idempotent-separating degree of a block-group. |
scientific article; zbMATH DE number 5284770 |
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The idempotent-separating degree of a block-group. (English)
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4 June 2008
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A block-group is a semigroup whose elements have at most one inverse. For a finite block-group \(S\) the minimal \(n\) such that there exists an idempotent-separating homomorphism from \(S\) into the monoid of partial transformations of a set with \(n\) elements is equal to the number of join irreducibile idempotents of \(S\).
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block-groups
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finite semigroups
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idempotent-separating homomorphisms
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monoids of partial transformations
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join irreducibile idempotents
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0.7301914095878601
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