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:

    “A nation grown free in a single day is a child born with the limbs and the vigour of a man, who would take a drawn sword for his rattle, and set the house in a blaze that he might chuckle over the splendour.”
    —Sydney Smith (1771–1845)