Год выпуска: 2012 Автор: Raju Chowdhury Издательство: LAP Lambert Academic Publishing Страниц: 108 ISBN: 9783847341888
Описание
The concept of a radical was introduced by J. H. M. Wedderburn in 1908, for determination of structures of algebras and later on various radicals have been proposed by Artin, Baer, Jacobson, Brown-McCoy, Levitzki etc. for study of rings in the forties. The general theory of radicals was initiated by Kurosh (1953) and Amitsur in the early fifties. Andrunakievic, Sulinski, Divinsky and many others have followed up the works of Kurosh and Amitsur. The first example of a radical was the nilradical introduced in (Kothe 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).
