**Noncommutative Rings**

by Michael Artin

1999**Number of pages**: 103

**Description**:

From the table of contents: Morita equivalence (Hom, Bimodules, Projective modules ...); Localization and Goldie's theorem; Central simple algebras and the Brauer group; Maximal orders; Irreducible representations; Growth of algebras.

Download or read it online for free here:

**Download link**

(630KB, PDF)

## Similar books

**New Directions in Hopf Algebras**

by

**S. Montgomery, H. Schneider**-

**Cambridge University Press**

Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras, and other areas. The book gives a clear picture of the current trends, with a focus on what will be important in future research.

(

**8270**views)

**Workbook in Higher Algebra**

by

**David Surowski**

A set of notes for a Higher Algebra course. It covers Group Theory, Field and Galois Theory, Elementary Factorization Theory, Dedekind Domains, Module Theory, Ring Structure Theory, Tensor Products, Zornâ€™s Lemma and some Applications.

(

**12346**views)

**Lectures On Unique Factorization Domains**

by

**P. Samuel**-

**Tata Institute Of Fundamental Research**

In this book we shall study some elementary properties of Krull rings and factorial rings, regular rings (local and factorial), and descent methods (Galoisian descent, the Purely inseparable case, formulae concerning derivations).

(

**6452**views)

**Infinite-dimensional Lie Algebras**

by

**Iain Gordon**-

**University of Edinburgh**

Contents: Central extensions; Virasoro algebra; Heisenberg algebra; Enveloping algebras; Hands-on loop and affine algebras; Simple Lie algebras; Kac-Moody Lie algebras; Dynkin diagrams; Forms, Weyl groups and roots; Root spaces; Affine Lie algebras.

(

**8862**views)