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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.
History, Algebraic overview & Examples of semigroups
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semigroups displaystyle monoid set operation group element theory identity groups commutative one finite homomorphism called elements binary every example quotient
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Semigroup | is a | algebraic structure consisting of a set together with an associative internal binary operation on it | 0.90 | text |
| Semigroup | is a | set S | 0.90 | text |
| Semigroup | is a | monoid with identity | 0.90 | text |
| Semigroup | is a | group.A band is a semigroup whose operation is idempotent.A semilattice is a semigroup whose operation is idempotent and commutative.0-simple semigroups.Transformation semigroups | 0.90 | text |
| groups or rings | instance of | HistoryThe study of semigroups trailed behind that of other algebraic structures with more complex axioms | 0.80 | text |
| Semigroup | has method | Roughly | 0.60 | section |
| Semigroup | has method | For | 0.60 | section |
| Semigroup | has method | Let | 0.60 | section |
| Semigroup | has method | L2 | 0.60 | section |
| Semigroup | has method | Lp | 0.60 | section |
| Semigroup | related to Definition | More | 0.60 | section |
| Semigroup | related to Examples of semigroups | Empty | 0.60 | section |
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