The difference between Monoid and Quasigroup
When used as nouns, monoid means a set which is closed under an associative binary operation, and which contains an element which is an identity for the operation, whereas quasigroup means an algebraic structure, resembling a group, whose arithmetic may not be associative.
Monoid is also adjective with the meaning: containing only one kind of metrical foot.
check bellow for the other definitions of Monoid and Quasigroup
-
Monoid as a noun (mathematics):
A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.
-
Monoid as an adjective (prosody):
Containing only one kind of metrical foot.
-
Quasigroup as a noun (mathematics):
An algebraic structure, resembling a group, whose arithmetic may not be associative