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Semisimple Modules and Rings

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Part of the book series: Encyclopaedia of Mathematical Sciences ((EMS,volume 11))

Abstract

The theory of modules over noncommutative rings, and the study of the structure of the rings themselves, can be taken well beyond the framework of general definitions and almost obvious properties treated in the preceding section, provided we restrict ourselves to objects satisfying the strong, but frequently occuring property of semisimpleness.

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© 2005 Springer-Verlag Berlin Heidelberg

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Shafarevich, I.R. (2005). Semisimple Modules and Rings. In: Basic Notions of Algebra. Encyclopaedia of Mathematical Sciences, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26474-4_10

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