Math 312. Basic Ring Theory

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Review of the basic definitions. Artinian and Noetherian modules, Jordan-Hölder Theorem, Azummaya's Theorem, Krull-Schmidt's Theorem, completely reducible modules, Schurs Lemma, tensor product of modules, projective and injective modules. Weddenburn-Artin Theorem for simple rings. Primitive and semi-primitive rings, Jacobson radical, Jacobson's Density Theorem, The structure of simple and Artinian rings. The structure of semi-primitive Artinian rings.

Instructors: Prof. Oleg Belegradek - olegb%bilgi.edu.tr
Assistants:
Credits: 3

Ali Nesin's Algebra Lecture Notes: dvi pdf ps
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