Graduate Texts in Mathematics

Algebra

An Approach via Module Theory

Authors: Adkins, William, Weintraub, Steven

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About this Textbook

This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules? The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generaliza­ tion of vector spaces. (To be precise, modules are to rings as vector spaces are to fields.

Table of contents (8 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4612-0923-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-0-387-97839-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA
  • ISBN 978-1-4612-6948-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algebra
Book Subtitle
An Approach via Module Theory
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
136
Copyright
1992
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0923-2
DOI
10.1007/978-1-4612-0923-2
Hardcover ISBN
978-0-387-97839-0
Softcover ISBN
978-1-4612-6948-9
Series ISSN
0072-5285
Edition Number
1
Number of Pages
X, 526
Topics