monoid

(redirected from Abelian monoid)

monoid

[′mä‚nȯid]
(mathematics)
A semigroup which has an identity element.

monoid

An operator * and a value x form a monoid if * is associative and x is its left and right identity.
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References in periodicals archive ?
By the first part of Proposition 4, we can assume that G is an abelian monoid.
If A is commutative, G a disjoint union of abelian monoids and [alpha] is symmetric, then the commutant of A in A [[?
The last requirement comes from the fact that, given only the global transition function, we want to be able to isolate the influence of one cell; that is why we demand that + have an identity element, which makes now ([SIGMA], +) an abelian monoid.