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Semigroup with involution

In mathematics, particularly in abstract algebra, a semigroup with involution or a *-semigroup is a semigroup equipped with an involutive anti-automorphism, which—roughly speaking—brings it closer to a group because this involution, considered as unary operator, exhibits certain fundamental properties of the operation of taking the inverse in a group:

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Formal definition

Examples

Basic concepts and properties

Notions of regularity

Free semigroup with involution

Baer *-semigroups

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Semigroup with involution

Nodes107
Edges106
Triples130
Avg. degree1.98
Density0.018692
Components1

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Semigroup with involution

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related to References · 107
Semigroup with involution → Accessed, Alfred, Algebraic Systems, Algebraic Theory, American Mathematical Soc, American Mathematical Society, Andrzej, Arto, Australian Mathematical Society, Automata Theory, Banja Luka Vol, Berg, Brink, Bulletin, Business Media, Cambridge University Press, Chris, Christensen, Christopher, Clifford
related to Examples · 9
Semigroup with involution → An, As, Cartesian, Furthermore, If, Mn, There, This, Underlying
related to Basic concepts and properties · 8
Semigroup with involution → An, As, Certain, Elements, Every, Hermitian, If, PI
related to Free semigroup with involution · 6
Semigroup with involution → As, Here, In, Let, Moreover, The

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involution semigroup inverse semigroups regular free group displaystyle -semigroup example map dagger set element monoid operation theory also called binary

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SubjectPredicateObjectConfidenceSrc
Semigroup with involutionrelated to Basic concepts and propertiesAn0.60section
Semigroup with involutionrelated to Basic concepts and propertiesHermitian0.60section
Semigroup with involutionrelated to Basic concepts and propertiesElements0.60section
Semigroup with involutionrelated to Basic concepts and propertiesAs0.60section
Semigroup with involutionrelated to Basic concepts and propertiesCertain0.60section
Semigroup with involutionrelated to Basic concepts and propertiesPI0.60section
Semigroup with involutionrelated to Basic concepts and propertiesEvery0.60section
Semigroup with involutionrelated to Basic concepts and propertiesIf0.60section
Semigroup with involutionrelated to ExamplesIf0.60section
Semigroup with involutionrelated to ExamplesFurthermore0.60section
Semigroup with involutionrelated to ExamplesAs0.60section
Semigroup with involutionrelated to ExamplesThere0.60section

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