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In abstract algebra, a monoid is a set equipped with an associative binary operation and an identity element. For example, the natural numbers with addition form a monoid, the identity element being 0.
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set identity element operation commutative elements group monoids given semigroup category one binary called may also every example object morphisms
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Monoid | is a | set equipped with an associative binary operation and an identity element | 0.90 | text |
| Monoid | is a | semigroup with an identity element | 0.90 | text |
| Monoid | is a | opposite monoid of itself.Given two sets M and N endowed with monoid structure | 0.90 | text |
| Monoid | is a | monoid where for every a in M | 0.90 | text |
| Monoid | is a | additively written monoid in which a | 0.90 | text |
| Monoid | is a | commutative monoid equipped with an infinitary sum operation Σ I | 0.90 | text |
| Monoid | related to Acts and operator monoids | Let | 0.60 | section |
| Monoid | related to Acts and operator monoids | Then | 0.60 | section |
| Monoid | related to Acts and operator monoids | M-act | 0.60 | section |
| Monoid | related to Commutative monoid | Commutative | 0.60 | section |
| Monoid | related to Commutative monoid | Any | 0.60 | section |
| Monoid | related to Commutative monoid | An | 0.60 | section |
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