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: uniqueness, double application "cancelling itself out", and the same interaction law with the binary operation as in the case of the group inverse. It is thus not a surprise that any group is a semigroup with involution. However, there are significant natural examples of semigroups with involution that are not groups.
*-algebra*-regular semigroup*-semigroupAntihomomorphismBaer *-semigroupBaer ringBinary relationC*-algebraComposition of relationsConverse relationDagger categoryDavid J. FoulisDistributive propertyDyck congruenceDyck languageFoulis semigroupFree half groupFree monoid with involutionFree semigroup with involutionInverse elementInverse semigroupInvolution (mathematics)Involutive monoidMichael P. DrazinMonoid with involutionMoore–Penrose inverseOperator theoryPartial isometryPresentation of a monoidRegularRelation algebraSemigroupShamir congruenceSpecial classes of semigroupsVon Neumann algebraWord problem for groups
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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: uniqueness, double application "cancelling itself out", and the same interaction law with the binary operation as in the case of the group inverse. It is thus not a surprise that any group is a semigroup with involution. However, there are significant natural examples of semigroups with involution that are not groups.
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In mathematics, particularly i ...... groups with that of semiheaps.
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Free semigroup with involution
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In mathematics, particularly i ...... nvolution that are not groups.
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Semigroup with involution
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