Radical of a ring

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).

单词	Torsion theory
释义	Torsion theory 英语百科 Radical of a ring 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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Torsion theory

Radical of a ring