Resources | Noncommutative Algebra | Mathematics

Course Info

Instructor

Prof. Roman Bezrukavnikov

Departments

Mathematics

As Taught In

Spring 2023

Level

Graduate

Topics

Mathematics
- Algebra and Number Theory

Learning Resource Types

Lecture Notes

Problem Sets

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Lecture Notes

pdf

212 kB

Noncommutative Rings lecture notes by Artin Errata

pdf

2 MB

Noncommutative Rings lecture notes by Prof. Michael Artin

pdf

293 kB

Rings, Ideals, and Modules lecture notes by Prof. Pavel Etingof

pdf

2 MB

Lecture 01: Introduction, Simple and Semisimple Modules, Skew Fields

pdf

2 MB

Lecture 02: Semisimple Modules, Socles, Artinian Rings, Wedderburn’s Theorem

pdf

2 MB

Lecture 03: Isotypic Decomposition, Density Theorem, Noetherian and Artinian Properties, Jacobson Radical

pdf

2 MB

Lecture 04: Socle and Cosocle Filtrations, Jacobson Radical, Krull-Schmidt

pdf

2 MB

Lecture 05: Jacobson Radical, Primitive and Semi-Primitive Rings

pdf

2 MB

Lecture 06: Artinian Rings are Noetherian, Projective Covers

pdf

2 MB

Lecture 07: Categories and Morita Equivalence

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Problem Sets

Problem Set 1

Problem Set 2

Problem Set 3

Problem Set 4

Problem Set 5

Problem Set 6

Course Info

Instructor

Prof. Roman Bezrukavnikov

Departments

Mathematics

As Taught In

Spring 2023

Level

Graduate

Topics

Mathematics
- Algebra and Number Theory

Learning Resource Types

Lecture Notes

Problem Sets

Download Course

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Noncommutative Algebra

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Lecture Notes

Problem Sets

Course Info

Instructor

Departments

As Taught In

Level

Topics

Learning Resource Types