Modules and Rings

Paperback (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $95.22
Usually ships in 1-2 business days
(Save 9%)
Other sellers (Paperback)
  • All (3) from $95.22   
  • New (3) from $0.00   


This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.
Read More Show Less

Editorial Reviews

From the Publisher
" always intensely focused on the big picture; there is no chance that the reader will lose sight of what is important or where the stroy is going. He is equally meticulous about details; his explanations are finely crafted and complete...[the book] will be the salvation of many a graduate student preparing for qualifying exams." D.V. Feldman, Choice
Read More Show Less

Product Details

  • ISBN-13: 9780521063487
  • Publisher: Cambridge University Press
  • Publication date: 5/29/2008
  • Pages: 464
  • Product dimensions: 5.90 (w) x 8.90 (h) x 1.20 (d)

Table of Contents

Note to the Reader
Ch. 1 Modules 1
Ch. 2 Free Modules 19
Ch. 3 Injective Modules 30
Ch. 4 Tensor Products 53
Ch. 5 Certain Important Algebras 71
Ch. 6 Simple Modules and Primitive Rings 86
Ch. 7 The Jacobson Radical 111
Ch. 8 Subdirect Product Decompositions 140
Ch. 9 Primes and Semiprimes 148
Ch. 10 Projective Modules and More on Wedderburn Theorems 163
Ch. 11 Direct Sum Decompositions 204
Ch. 12 Simple Algebras 239
Ch. 13 Hereditary Rings. Free and Projective Modules 269
Ch. 14 Module Constructions 283
Ch. 15 Categories and Functors 298
Ch. 16 Module Categories 335
Ch. 17 Flat Modules 359
Ch. 18 Purity 367
Appendix A: Basics 398
Appendix B: Certain Important Algebras 412
List of Symbols and Notation 427
Bibliography 432
Subject Index 436
Author Index 442
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)