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Transformation semigroup

In algebra, a transformation semigroup (or composition semigroup) is a collection of transformations (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 analogue of a permutation group.

Cayley representation, Transformation monoid of an automaton & Transformation semigroups and monoids

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Overview

Transformation semigroups and monoids

Cayley representation

Transformation monoid of an automaton

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Transformation semigroup

Nodes36
Edges35
Triples14
Avg. degree1.94
Density0.055556
Components1

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Transformation semigroup

Top relations

related to Transformation semigroups and monoids · 5
Transformation semigroup → Any, Here, If, PT, The
related to Cayley representation · 4
Transformation semigroup → Cayley's, For, In, This
related to Transformation monoid of an automaton · 4
Transformation semigroup → For, Let, The, TS
is a · 1
Transformation semigroup → pair

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Important terminology

transformation semigroup set monoid action transformations identity called theory composition function semigroups isbn faithful two monoids functions automaton given left

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Transformation semigroupis apair0.90text
Transformation semigrouprelated to Cayley representationIn0.60section
Transformation semigrouprelated to Cayley representationCayley's0.60section
Transformation semigrouprelated to Cayley representationThis0.60section
Transformation semigrouprelated to Cayley representationFor0.60section
Transformation semigrouprelated to Transformation monoid of an automatonLet0.60section
Transformation semigrouprelated to Transformation monoid of an automatonThe0.60section
Transformation semigrouprelated to Transformation monoid of an automatonTS0.60section
Transformation semigrouprelated to Transformation monoid of an automatonFor0.60section
Transformation semigrouprelated to Transformation semigroups and monoidsHere0.60section
Transformation semigrouprelated to Transformation semigroups and monoidsThe0.60section
Transformation semigrouprelated to Transformation semigroups and monoidsPT0.60section

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