First Course In Module Theory, A
eBook - PDF

First Course In Module Theory, A

  1. 268 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

First Course In Module Theory, A

Book details
Table of contents
Citations

About This Book

This book is an introduction to module theory for the reader who knows something about linear algebra and ring theory. Its main aim is the derivation of the structure theory of modules over Euclidean domains. This theory is applied to obtain the structure of abelian groups and the rational canonical and Jordan normal forms of matrices. The basic facts about rings and modules are given in full generality, so that some further topics can be discussed, including projective modules and the connection between modules and representations of groups.The book is intended to serve as supplementary reading for the third or fourth year undergraduate who is taking a course in module theory. The further topics point the way to some projects that might be attempted in conjunction with a taught course.

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Yes, you can access First Course In Module Theory, A by Mike E Keating in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
ICP
Year
1998
ISBN
9781848160712
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Contents
  2. Introduction
  3. Chapter 1 Rings and Ideals
  4. Chapter 2 Euclidean Domains
  5. Chapter 3 Modules and Submodules
  6. Chapter 4 Homomorphisms
  7. Chapter 5 Free Modules
  8. Chapter 6 Quotient Modules and Cyclic Modules
  9. Chapter 7 Direct Sums of Modules
  10. Chapter 8 Torsion and the Primary Decomposition
  11. Chapter 9 Presentations
  12. Chapter 10 Diagonalizing and Inverting Matrices
  13. Chapter 11 Fitting Ideals
  14. Chapter 12 The Decomposition of Modules
  15. Chapter 13 Normal Forms for Matrices
  16. Chapter 14 Projective Modules
  17. Hints and Solutions for the Exercises
  18. Bibliography
  19. Index