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 American adolescent, then, is faced, as are the adolescents of all countries who have entered or are entering the machine age, with the question: freedom from what and at what price? The American feels so rich in his opportunities for free expression that he often no longer knows what it is he is free from. Neither does he know where he is not free; he does not recognize his native autocrats when he sees them.
    Erik H. Erikson (1904–1994)