Introduction to Ring Theory

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.

List of contents

Remarks on Notation and Terminology.- 1 Basics.- 2 Linear Algebras and Artinian Rings.- 3 Noetherian Rings.- 4 Ring Constructions.- 5 General Rings.- Outline Solutions.- Notations and Symbols.

Summary

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.

Product details

• Authors: P. M. Cohn, Paul M Cohn, Paul M. Cohn
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 19.03.2001
• EAN: 9781852332068
• ISBN: 978-1-85233-206-8
• No. of pages: 229
• Dimensions: 177 mm x 237 mm x 14 mm
• Weight: 450 g
• Illustrations: X, 229 p.
• Series: Springer Undergraduate Mathematics Series; Springer Undergraduate Mathematics Series (SUMS); Springer Undergraduate Mathematics Series (SUMS); Springer Undergraduate Mathematics Series
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra