monoid

(redirected from Submonoid)

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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and K(x) is a submonoid with the identity element x of End(G) which is canonically isomorphic to End(Imx).
The image of e identifies the set of faces of A with a submonoid of [{0, +, -}.
m - 1} is a coset of a submonoid of N isomorphic to N: as any subgroup of finite index of [Z.
In particular, if each local submonoid is semiadequate, then S is said to be locally semiadequate.
An affine semigroup is a finitely generated submonoid of Nr for some positive integer r.
is sparse if either E = [epsilon] or E belongs to the submonoid generated by 0 and 01 and we let [2.
This basic observation means that if we have a relation R on M and we want to construct the smallest stable quasiorder containing R we can first extend R to a reflexive relation, which we then use to generate a submonoid in M x M, and finally we take the transitive closure.
A monoid S satisfies Condition (K) if every left collapsible submonoid of S contains a left zero.
For any e [member of] U, we call eS(U)e a local submonoid of S(U).
X] : G [right arrow] haut(X) factors through the submonoid Aut(X) of invertible elements (self-homeomorphisms) in haut(X), so it makes X into a G-space, equipped with a continuous G-action.
The following observation is crucial: the submonoid [L.