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© 1999

Lectures on Modules and Rings

Textbook

Part of the Graduate Texts in Mathematics book series (GTM, volume 189)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. T. Y. Lam
    Pages 121-205
  3. T. Y. Lam
    Pages 207-286
  4. T. Y. Lam
    Pages 287-356
  5. T. Y. Lam
    Pages 357-405
  6. T. Y. Lam
    Pages 407-457
  7. Back Matter
    Pages 543-561

About this book

Introduction

Textbook writing must be one of the cruelest of self-inflicted tortures. - Carl Faith Math Reviews 54: 5281 So why didn't I heed the warning of a wise colleague, especially one who is a great expert in the subject of modules and rings? The answer is simple: I did not learn about it until it was too late! My writing project in ring theory started in 1983 after I taught a year-long course in the subject at Berkeley. My original plan was to write up my lectures and publish them as a graduate text in a couple of years. My hopes of carrying out this plan on schedule were, however, quickly dashed as I began to realize how much material was at hand and how little time I had at my disposal. As the years went by, I added further material to my notes, and used them to teach different versions of the course. Eventually, I came to the realization that writing a single volume would not fully accomplish my original goal of giving a comprehensive treatment of basic ring theory. At the suggestion of Ulrike Schmickler-Hirzebruch, then Mathematics Editor of Springer-Verlag, I completed the first part of my project and published the write­ up in 1991 as A First Course in Noncommutative Rings, GTM 131, hereafter referred to as First Course (or simply FC).

Keywords

Maxima Permutation addition algebra automorphism commutative property commutative ring duality field information localization matrix polynomial ring torsion

Authors and affiliations

  1. 1.Department of MathematicsUniversity of California at BerkeleyBerkeleyUSA

Bibliographic information

  • Book Title Lectures on Modules and Rings
  • Authors Tsit-Yuen Lam
  • Series Title Graduate Texts in Mathematics
  • DOI https://doi.org/10.1007/978-1-4612-0525-8
  • Copyright Information Springer-Verlag New York, Inc. 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-98428-5
  • Softcover ISBN 978-1-4612-6802-4
  • eBook ISBN 978-1-4612-0525-8
  • Series ISSN 0072-5285
  • Edition Number 1
  • Number of Pages XXIII, 557
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Algebra
  • Buy this book on publisher's site

Reviews

"As in the previous book, the presentation is extremely clear and incisive and the exercises are both interesting and challenging. Without a doubt, the book could indeed serve as a textbook for a very good---though definitely formidable---graduate course in ring theory. The author is the first to admit, in his introduction, that he is far from having covered all of the interesting topics in noncommutative ring theory. Therefore, given the high level of presentation of the two books he has already published, one can only hope that a third volume will be in the offing, despite his "solemn pledge" to the contrary."--MATHEMATICAL REVIEWS