Tight representations of \(0\)-\(E\)-unitary inverse semigroups. (Q657113)
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scientific article; zbMATH DE number 5997787
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tight representations of \(0\)-\(E\)-unitary inverse semigroups. |
scientific article; zbMATH DE number 5997787 |
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Tight representations of \(0\)-\(E\)-unitary inverse semigroups. (English)
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16 January 2012
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Summary: We study the tight representation of a semilattice in \(\{0,1\}\) by some examples. Then we introduce the concept of the complex tight representation of an inverse semigroup \(S\) by the concept of the tight representation of the semilattice of idempotents \(E\) of \(S\) in \(\{0,1\}\). Specifically we describe the tight representation of a 0-\(E\)-unitary inverse semigroup and prove that if \(\sigma\) is a tight semilattice representation of the 0-\(E\)-unitary inverse semigroup \(S\) in \(\{0,1\}\), then \(\sigma\) is a complex tight representation.
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representations of semilattices
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complex tight representations
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inverse semigroups
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idempotents
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0.90090793
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0.89415485
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0.8934946
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0.8912001
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0.8881387
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0.8813807
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