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:
“Generally, about all perception, we can say that a sense is what has the power of receiving into itself the sensible forms of things without the matter, in the way in which a piece of wax takes on the impress of a signet ring without the iron or gold.”
—Aristotle (384323 B.C.)
“The great tragedy of sciencethe slaying of a beautiful theory by an ugly fact.”
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