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- Transformation_semigroup abstract "In algebra, a transformation semigroup (or composition semigroup) is a collection of functions from a set to itself that is closed under function composition. If it includes the identity function, it is a transformation (or composition) monoid. This is the semigroup anologue of a permutation group. A transformation semigroup of a set has a tautological semigroup action on that set. Such actions are characterized by being effective, i.e., if two elements of the semigroup have the same action, then they are equal.An analogue of Cayley's theorem shows that any semigroup can be realized as a transformation semigroup of some set.".
- Transformation_semigroup wikiPageID "19313303".
- Transformation_semigroup wikiPageRevisionID "576491901".
- Transformation_semigroup hasPhotoCollection Transformation_semigroup.
- Transformation_semigroup id "3561".
- Transformation_semigroup title "Semigroup of transformations".
- Transformation_semigroup subject Category:Semigroup_theory.
- Transformation_semigroup comment "In algebra, a transformation semigroup (or composition semigroup) is a collection of functions from a set to itself that is closed under function composition. If it includes the identity function, it is a transformation (or composition) monoid. This is the semigroup anologue of a permutation group. A transformation semigroup of a set has a tautological semigroup action on that set.".
- Transformation_semigroup label "Demi-groupe de transformations".
- Transformation_semigroup label "Półgrupa transformacji".
- Transformation_semigroup label "Transformation semigroup".
- Transformation_semigroup sameAs Demi-groupe_de_transformations.
- Transformation_semigroup sameAs Półgrupa_transformacji.
- Transformation_semigroup sameAs m.04n7qzg.
- Transformation_semigroup sameAs Q3022116.
- Transformation_semigroup sameAs Q3022116.
- Transformation_semigroup wasDerivedFrom Transformation_semigroup?oldid=576491901.
- Transformation_semigroup isPrimaryTopicOf Transformation_semigroup.