The general theory of radicals was defined independently by (Amitsur 1952, 1954, 1954b) and Kurosh (1953). The general theory of radicals was initiated by Kurosh (1953) and Amitsur in the early fifties. In the next few years several other radicals were discovered, of which the most important example is the Jacobson radical. Andrunakievic, Sulinski, Divinsky and many others have followed up the works of Kurosh and Amitsur. 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! The concept of a radical was introduced by J? for study of rings in the forties. The first example of a radical was the nilradical introduced in (Kothe 1930), based on a suggestion in (Wedderburn 1908).