Solvability in inverse semigroups (Q1083554)
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scientific article; zbMATH DE number 3975231
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability in inverse semigroups |
scientific article; zbMATH DE number 3975231 |
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Solvability in inverse semigroups (English)
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1987
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The least commutative congruence on an inverse semigroup is characterized in terms of its kernel and trace. By using this characterization, a notion is introduced, which extends to inverse semigroups the classical notion of solvability in groups. Several properties are studied, in order to generalize well-known theorems from Group Theory.
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least commutative congruence
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kernel
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trace
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inverse semigroups
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solvability
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