In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element. Monoids are studied in semigroup theory as they are semigroups with identity. Monoids occur in several branches of mathematics; for instance, they can be regarded as categories with a single object. T...
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[category theory] and the unitor diagram == Examples == The category of monoids in C and their monoid morphisms is written MonC. == See also == ...
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http://en.wikipedia.org/wiki/Monoid_(category_theory)
A set, M, defined on rational vectors, such that: (1) 0 is in M, and (2) if v, w are in M, then v+w is in M. The monoid is integral if it contains only integer vectors. One can think of a monoid as a discrete analogue of a convex cone.
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