The Jacobson Radical
In Chapter One we developed a structure theory for semisimple rings, as summarized in Theorem 1.18. This theory used, for the most part, properties of modules over a semisimple ring in order to characterize such a ring. In this chapter, we give a more intrinsic characterization of semisimple rings.
KeywordsLocal Ring Left Ideal Division Ring Nilpotent Element Matrix Ring
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