Ring Theory
In ring theory an approximate identity is defined in a similar way, except that the ring is given the discrete topology so that a=aeλ for some λ.
A module over a ring with approximate identity is called non-degenerate if for every m in the module there is some λ with m=meλ.
Read more about this topic: Approximate Identity
Famous quotes containing the words ring and/or theory:
“The life of man is a self-evolving circle, which, from a ring imperceptibly small, rushes on all sides outwards to new and larger circles, and that without end.”
—Ralph Waldo Emerson (1803–1882)
“There could be no fairer destiny for any physical theory than that it should point the way to a more comprehensive theory in which it lives on as a limiting case.”
—Albert Einstein (1879–1955)
Related Phrases
Related Words