semigroup

Algebraic structure with an associative binary operation

EntityQ207348

Also known as associative magma

Subclass of: flexible magma
, semigroupoid
, partial semigroup

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. In mathematical analysis, the term also appears in the theory of one-parameter operator semigroups: see C0-semigroup.

Overview

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35 statements · 20% with external sources · numbers in brackets are citations

Has characteristic: associativity
closure
Defining formula: \boldsymbol S = (S,*)
Members / parts: set
binary operation
Studied by: semigroup theory

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25 identifiers linking semigroup across the web's reference databases

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Source last edited September 23, 2026. AIDB refreshes this page daily.

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AIDB. (2026). semigroup (Q207348). Retrieved from https://aidb.si/e/semigroup-Q207348