Free Module - Universal Property

Universal Property

The mapping defined above is universal in the following sense. If there is an arbitrary -module and an arbitrary mapping, then there exists a unique module homomorphism such that .

Read more about this topic:  Free Module

Famous quotes containing the words universal and/or property:

    “The philosopher’s conception of things will, above all, be truer than other men’s, and his philosophy will subordinate all the circumstances of life. To live like a philosopher is to live, not foolishly, like other men, but wisely and according to universal laws.”
    —Henry David Thoreau (1817–1862)

    “No man acquires property without acquiring with it a little arithmetic, also.”
    —Ralph Waldo Emerson (1803–1882)