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 basis of world peace is the teaching which runs through almost all the great religions of the world. “Love thy neighbor as thyself.” Christ, some of the other great Jewish teachers, Buddha, all preached it. Their followers forgot it. What is the trouble between capital and labor, what is the trouble in many of our communities, but rather a universal forgetting that this teaching is one of our first obligations.”
—Eleanor Roosevelt (1884–1962)
“By avarice and selfishness, and a groveling habit, from which none of us is free, of regarding the soil as property, or the means of acquiring property chiefly, the landscape is deformed, husbandry is degraded with us, and the farmer leads the meanest of lives. He knows Nature but as a robber.”
—Henry David Thoreau (1817–1862)