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:

    “When we our betters see bearing our woes,
    We scarcely think our miseries our foes.
    Who alone suffers, suffers most i’ the mind,
    Leaving free things and happy shows behind.
    But then the mind much sufferance doth o’er skip,
    When grief hath mates, and bearing fellowship.”
    —William Shakespeare (1564–1616)