In ring theory, a branch of mathematics, a radical of a ring is an ideal of "bad" elements of the ring.
The first example of a radical was the nilradical introduced in (Köthe 1930), based on a suggestion in (Wedderburn 1908). In the next few years several other radicals were discovered, of which the most important example is the Jacobson radical. The general theory of radicals was defined independently by (Amitsur 1952, 1954, 1954b) and Kurosh (1953).
Read more about Radical Of A Ring: Definitions
Famous quotes containing the words radical and/or ring:
“Universal suffrage is sound in principle. The radical element is right.”
—Rutherford Birchard Hayes (1822–1893)
“Look how my ring encompasseth thy finger;
Even so thy breast encloseth my poor heart.
Wear both of them, for both of them are thine.”
—William Shakespeare (1564–1616)