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Noncommutative Algebra (Graduate Texts in Mathematics, 144) by Benson Farb, R. Keith Dennis is a nonfiction available to read on EtoBox.

What is Noncommutative Algebra (Graduate Texts in Mathematics, 144) about?

This book is an introduction to the theory of noncommutative algebra. The core of the book is suitable for a one-semester course for graduate students. The approach, which is more homological than ring-theoretic, clarifies the subject and its relation to other important areas of mathematics, including K-theory, homological algebra, and representation theory. The main part of the book begins with a brief review of background material; the first chapter covers the basics of semisimple modules and rings, including the Wedderburn structure theorem; chapter two discusses the Jacobson radical, giving several different views; chapter three develops the theory of central simple algebras, including proofs of the Skolem-Noether and Double Centralizer theorems, with two famous theorems of Wedderburn and Frobenius given as applications; and chapter four is an introduction to the Brauer group and its relation to cohomology. The remaining chapters introduce several special topics: the notion of primitive ring is developed along lines parallel to that of simple rings; the representation theory of finite groups is combined with the Wedderburn Structure Theorem to prove Burnside's Theorem; the glob

Who reads Noncommutative Algebra (Graduate Texts in Mathematics, 144)?

Author

Benson Farb, R. Keith Dennis

Publisher

SPRINGER-VERLAG

Published

1993

Language

EN

ISBN

9783540940579

Category

nonfiction

Subjects

Mathematics, Stem