Semigroup vs Monoid - What's the difference?
semigroup | monoid | Hyponyms |
(mathematics) Any set for which there is a binary operation that is both closed and associative.
* 1961 , Alfred Hoblitzelle Clifford, ?G. B. Preston, The Algebraic Theory of Semigroups (page 70)
(mathematics) A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.
Monoid is a hypernym of semigroup.
Monoid is a hyponym of semigroup.
In mathematics terms the difference between semigroup and monoid
is that semigroup is any set for which there is a binary operation that is both closed and associative while monoid is a set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.semigroup
English
Noun
(wikipedia semigroup) (en noun)- If a semigroup S'' contains a zeroid, then every left zeroid is also a right zeroid, and vice versa, and the set ''K'' of all the zeroids of ''S'' is the kernel of ''S .
