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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 monoid, called 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.In automata theory, some authors use the term transformation semigroup to refer to a semigroup acting faithfully on a set of \"states\" different from the semigroup's base set. There is a correspondence between the two notions.".
- Transformation_semigroup wikiPageID "19313303".
- Transformation_semigroup wikiPageLength "6411".
- Transformation_semigroup wikiPageOutDegree "42".
- Transformation_semigroup wikiPageRevisionID "639312001".
- Transformation_semigroup wikiPageWikiLink Algebra.
- Transformation_semigroup wikiPageWikiLink American_Mathematical_Society.
- Transformation_semigroup wikiPageWikiLink Automata_theory.
- Transformation_semigroup wikiPageWikiLink Automaton.
- Transformation_semigroup wikiPageWikiLink Biordered_set.
- Transformation_semigroup wikiPageWikiLink Cambridge_University_Press.
- Transformation_semigroup wikiPageWikiLink Category:Semigroup_theory.
- Transformation_semigroup wikiPageWikiLink Cayleys_theorem.
- Transformation_semigroup wikiPageWikiLink Closure_(mathematics).
- Transformation_semigroup wikiPageWikiLink DFA_minimization.
- Transformation_semigroup wikiPageWikiLink Finite_group.
- Transformation_semigroup wikiPageWikiLink Free_monoid.
- Transformation_semigroup wikiPageWikiLink Function_(mathematics).
- Transformation_semigroup wikiPageWikiLink Function_composition.
- Transformation_semigroup wikiPageWikiLink Group_theory.
- Transformation_semigroup wikiPageWikiLink Identity_function.
- Transformation_semigroup wikiPageWikiLink Krohn–Rhodes_theory.
- Transformation_semigroup wikiPageWikiLink Monoid.
- Transformation_semigroup wikiPageWikiLink Oxford_University_Press.
- Transformation_semigroup wikiPageWikiLink Permutation_group.
- Transformation_semigroup wikiPageWikiLink Regular_language.
- Transformation_semigroup wikiPageWikiLink Regular_semigroup.
- Transformation_semigroup wikiPageWikiLink Semigroup.
- Transformation_semigroup wikiPageWikiLink Semigroup_action.
- Transformation_semigroup wikiPageWikiLink Special_classes_of_semigroups.
- Transformation_semigroup wikiPageWikiLink Symmetric_group.
- Transformation_semigroup wikiPageWikiLink Symmetric_inverse_semigroup.
- Transformation_semigroup wikiPageWikiLink Syntactic_monoid.
- Transformation_semigroup wikiPageWikiLink Transformation_(function).
- Transformation_semigroup wikiPageWikiLinkText "Full transformation semigroup".
- Transformation_semigroup wikiPageWikiLinkText "Transformation semigroup".
- Transformation_semigroup wikiPageWikiLinkText "a Cayley theorem for semigroups".
- Transformation_semigroup wikiPageWikiLinkText "full transformation semigroup".
- Transformation_semigroup wikiPageWikiLinkText "semigroup".
- Transformation_semigroup wikiPageWikiLinkText "transformation semigroup".
- Transformation_semigroup id "3561".
- Transformation_semigroup title "Semigroup of transformations".
- Transformation_semigroup wikiPageUsesTemplate Template:Cite_book.
- Transformation_semigroup wikiPageUsesTemplate Template:Moreinline.
- Transformation_semigroup wikiPageUsesTemplate Template:Planetmath_reference.
- Transformation_semigroup wikiPageUsesTemplate Template:Reflist.
- Transformation_semigroup subject Category:Semigroup_theory.
- Transformation_semigroup hypernym Collection.
- Transformation_semigroup type Book.
- Transformation_semigroup type Redirect.
- 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 monoid, called 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 "Transformation semigroup".
- Transformation_semigroup sameAs Q3022116.
- Transformation_semigroup sameAs Demi-groupe_de_transformations.
- Transformation_semigroup sameAs Półgrupa_transformacji.
- Transformation_semigroup sameAs m.04n7qzg.
- Transformation_semigroup sameAs Q3022116.
- Transformation_semigroup wasDerivedFrom Transformation_semigroup?oldid=639312001.
- Transformation_semigroup isPrimaryTopicOf Transformation_semigroup.