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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media New York
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Springer Book Archive