Nilradical of A Ring

Nilradical Of A Ring

In algebra, the nilradical of a commutative ring is the ideal consisting of the nilpotent elements of the ring.

In the non-commutative ring case the same definition does not always work. This has resulted in several radicals generalizing the commutative case in distinct ways.

Read more about Nilradical Of A Ring:  Commutative Rings, Noncommutative Rings

Famous quotes containing the word ring:

    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 (384–323 B.C.)