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:

    These words dropped into my childish mind as if you should accidentally drop a ring into a deep well. I did not think of them much at the time, but there came a day in my life when the ring was fished up out of the well, good as new.
    Harriet Beecher Stowe (1811–1896)