Algebra A Teaching and Source Book / by Ernest Shult, David Surowski.

This book presents a graduate-level course on modern algebra. It can be used as a teaching book – owing to the copious exercises – and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditi...

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Bibliographic Details
Main Authors: Shult, Ernest (Author), Surowski, David (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Basics
  • Basic Combinatorial Principles of Algebra
  • Review of Elementary Group Properties
  • Permutation Groups and Group Actions
  • Normal Structure of Groups
  • Generation in Groups
  • Elementary Properties of Rings
  • Elementary properties of Modules
  • The Arithmetic of Integral Domains
  • Principal Ideal Domains and Their Modules
  • Theory of Fields
  • Semiprime Rings
  • Tensor Products.