Algebra A Teaching and Source Book /

Algebra A Teaching and Source Book /

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
Published in:Springer eBooks
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.
Subjects:
mathematics.
Algebra.
Associative rings.
Rings (Algebra).
Field theory (Physics).
Group theory.
Mathematics.
Associative Rings and Algebras.
Group Theory and Generalizations.
Field Theory and Polynomials.
Online Access:http://dx.doi.org/10.1007/978-3-319-19734-0
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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.

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