Introduction to Ring Theory

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

Most parts of algebra have undergone great changes and advances in recent years, perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and structured introduction to the subject.
After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product. Tensor product and rings of fractions, followed by a description of free rings. The reader is assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.

Author(s): P. M. Cohn BA, MA, PhD, FRS (auth.)
Series: Springer Undergraduate Mathematics Series
Edition: 1
Publisher: Springer-Verlag London
Year: 2000

Language: English
Commentary: Full Bookmarks
Pages: 229
City: London Berlin Heidelberg
Tags: Algebra

Front Matter....Pages i-x
Introduction....Pages 1-2
Remarks on Notation and Terminology....Pages 3-6
Basics....Pages 7-52
Linear Algebras and Artinian Rings....Pages 53-101
Noetherian Rings....Pages 103-133
Ring Constructions....Pages 135-173
General Rings....Pages 175-202
Back Matter....Pages 203-229