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The Jacobson Radical

  • Benson Farb
  • R. Keith Dennis
Part of the Graduate Texts in Mathematics book series (GTM, volume 144)

Abstract

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.

Keywords

Local Ring Left Ideal Division Ring Nilpotent Element Matrix Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Benson Farb
    • 1
  • R. Keith Dennis
    • 2
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Department of MathematicsCornell UniversityIthacaUSA

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