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.
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© 1993 Springer Science+Business Media New York
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Farb, B., Dennis, R.K. (1993). The Jacobson Radical. In: Noncommutative Algebra. Graduate Texts in Mathematics, vol 144. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0889-1_3
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DOI: https://doi.org/10.1007/978-1-4612-0889-1_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6936-6
Online ISBN: 978-1-4612-0889-1
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