The normal subsemigroups of the monoid of injective maps. (Q382936)
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scientific article; zbMATH DE number 6232058
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The normal subsemigroups of the monoid of injective maps. |
scientific article; zbMATH DE number 6232058 |
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The normal subsemigroups of the monoid of injective maps. (English)
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22 November 2013
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The authors study the monoid of all injective maps from a set \(M\) (of any infinite cardinality) to itself. The main result gives a characterization for all normal subsemigroups in this monoid, that is all subsemigroups which are stable with respect to the usual conjugation by any bijective map.
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monoids of injective maps
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transformation monoids
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permutations
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conjugation
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normal subsemigroups
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conjugacy classes
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