On \(n\)-central semigroups. (Q1882660)
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scientific article; zbMATH DE number 2105085
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(n\)-central semigroups. |
scientific article; zbMATH DE number 2105085 |
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On \(n\)-central semigroups. (English)
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1 October 2004
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A semigroup is called `\(n\)-central' if the \(n\)-th power of each of its elements belongs to the center. As it follows from known results, every \(n\)-central semigroup is a semilattice of Archimedean \(n\)-central semigroups. 0-simple \(n\)-central semigroups are precisely \(n\)-central groups with zero adjoined. The author considers subdirectly irreducible \(n\)-central semigroups.
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subdirectly irreducible \(n\)-central semigroups
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