Free Module

In mathematics, a free module is a free object in a category of modules. Given a set, a free module on is a free module with basis .

Every vector space is free, and the free vector space on a set is a special case of a free module on a set.

Read more about Free Module:  Definition, Construction, Universal Property, Generalisations

Famous quotes containing the word free:

    The free man is a warrior.—How is freedom measured among individuals, among peoples? According to the resistance that must be overcome, according to the trouble it takes to stay on top. The highest type of free man must be sought where the highest resistance is constantly overcome: five steps away from tyranny, close to the threshold of the danger of servitude.
    Friedrich Nietzsche (1844–1900)