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:

    In private life he was good-natured, chearful, social; inelegant in his manners, loose in his morals. He had a coarse, strong wit, which he was too free of for a man in his station, as it is always inconsistent with dignity. He was very able as a minister, but without a certain elevation of mind necessary for great good, or great mischief.
    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)