Centralizers in the full transformation semigroup. (Q1941741)
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scientific article; zbMATH DE number 6147881
| Language | Label | Description | Also known as |
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| English | Centralizers in the full transformation semigroup. |
scientific article; zbMATH DE number 6147881 |
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Centralizers in the full transformation semigroup. (English)
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21 March 2013
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The authors study centralizers of elements in the full transformation semigroup on an arbitrary set. The main result is a rather technical criterion for a transformation to belong to the centralizer of another transformation, given in terms of connected components of the action graph. The results simplifies a bit in some special cases, namely, for transformations on finite sets, for idempotents and for injective transformations. The last section of the paper is a list of several open problems in the area.
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centralizers
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full transformation semigroups
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partial transformations
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