monoid

(redirected from Monoid congruence)

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 ?
Recall that a monoid congruence is an equivalence relation [equivalent to] which is left and right compatible with the product; in other words, for any monoid elements a, b, c, d, if a [equivalent to] b and c [equivalent to] d then ac [equivalent to] bd.
Abstract The minimum cancellative monoid congruence on [L.
In this paper we will study the minimum cancellative monoid congruence on [L.
Then [sigma] is the minimum cancellative monoid congruence on S.
In fact, [sigma] is the minimum cancellative monoid congruence on S.