Noncommutative Algebra (Graduate Texts in Mathematics)
| Author | : | |
| Rating | : | 4.12 (759 Votes) |
| Asin | : | 038794057X |
| Format Type | : | paperback |
| Number of Pages | : | 226 Pages |
| Publish Date | : | 2013-02-27 |
| Language | : | English |
DESCRIPTION:
We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one's understanding.. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. About This Book This book is meant to be used by beginning graduate students. This ap student more quickly proach is also, we believe, cleaner and easier to understand. Our approach is more homological than ring-theoretic, as this leads the to many important areas of mathematics. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. However, the more classical, ring-theoretic approach, as well as modern extensions, are also presented via several exercises and sections in Chapter Five
Andrei Prokopiw said Good Introduction to Central Simple Algebras. This is a very nice introduction to the theory of semisimple modules and rings, central simple algebras, and the Brauer group. It starts off with some review of basic concepts such as modules, tensor products, and field extensions - much of which is in the exercises. Indeed, a lot of the material is developed in the exercises so it is very usefu