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).
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Famous quotes containing the words radical and/or ring:
“Men have defined the parameters of every subject. All feminist arguments, however radical in intent or consequence, are with or against assertions or premises implicit in the male system, which is made credible or authentic by the power of men to name.”
—Andrea Dworkin (b. 1946)
“When the merry bells ring round,
And the jocund rebecks sound
To many a youth and many a maid,
Dancing in the chequered shade;
And young and old come forth to play
On a sunshine holiday,”
—John Milton (1608–1674)