**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

**An introduction to Noncommutative Projective Geometry**

by

**D. Rogalski**-

**arXiv**

These lecture notes are an expanded version of the author's lectures at a graduate workshop. The main topics discussed are Artin-Schelter regular algebras, point modules, and the noncommutative projective scheme associated to a graded algebra.

(

**5998**views)

**Graduate Algebra**

by

**Leonard Evens**-

**Northwestern University**

Contents: Groups; Group actions on sets; Normal series; Ring theory; Modules; Hom and tensor; Field theory; Galois theory; Applications of Galois theory; Infinite extensions; Categories; Multilinear algebra; More ring theory; Localization; etc.

(

**10079**views)

**Smarandache Near-rings**

by

**W. B. Vasantha Kandasamy**-

**American Research Press**

Near-rings are one of the generalized structures of rings. This is a book on Smarandache near-rings where the Smarandache analogues of the near-ring concepts are developed. The reader is expected to have a background in algebra and in near-rings.

(

**9633**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).

(

**6878**views)