quotiëntprojectie
Quotiëntprojectie is a concept in mathematics, specifically within abstract algebra and category theory. It refers to a particular type of mapping or projection. In essence, a quotiëntprojectie is a surjective (onto) homomorphism that also possesses a specific universal property. This universal property states that for any other surjective homomorphism from the same source object to some target object, there exists a unique unique isomorphism between the codomain of the quotiëntprojectie and the target object, such that the composition of the quotiëntprojectie with this isomorphism equals the other surjective homomorphism.
This concept is closely tied to the idea of forming quotient objects. In group theory, for example,