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 poet will prevail to be popular in spite of his faults, and in spite of his beauties too. He will hit the nail on the head, and we shall not know the shape of his hammer. He makes us free of his hearth and heart, which is greater than to offer one the freedom of a city.
    Henry David Thoreau (1817–1862)