Graduate Texts in Mathematics

Lectures in Abstract Algebra I

Basic Concepts

Authors: Jacobson, N.

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About this Textbook

The present volume is the first of three that will be published under the general title Lectures in Abstract Algebra. These vol­ umes are based on lectures which the author has given during the past ten years at the University of North Carolina, at The Johns Hopkins University, and at Yale "University. The general plan of the work IS as follows: The present first volume gives an introduction to abstract algebra and gives an account of most of the important algebraIc concepts. In a treatment of this type it is impossible to give a comprehensive account of the topics which are introduced. Nevertheless we have tried to go beyond the foundations and elementary properties of the algebraic sys­ tems. This has necessitated a certain amount of selection and omission. We feel that even at the present stage a deeper under­ standing of a few topics is to be preferred to a superficial under­ standing of many. The second and third volumes of this work will be more special­ ized in nature and will attempt to give comprehensive accounts of the topics which they treat. Volume II will bear the title Linear Algebra and will deal with the theorv of vectQ!_JlP. -a. ces. . . . . Volume III, The Theory of Fields and Galois Theory, will be con­ cerned with the algebraic structure offieras and with valuations of fields. All three volumes have been planned as texts for courses.

Table of contents (8 chapters)

  • Introduction: Concepts from Set Theory the System of Natural Numbers

    Jacobson, Nathan

    Pages 1-14

  • Semi-Groups and Groups

    Jacobson, Nathan

    Pages 15-48

  • Rings, Integral Domains and Fields

    Jacobson, Nathan

    Pages 49-83

  • Extensions of Rings and Fields

    Jacobson, Nathan

    Pages 84-113

  • Elementary Factorization Theory

    Jacobson, Nathan

    Pages 114-127

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4684-7301-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-1-4684-7303-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lectures in Abstract Algebra I
Book Subtitle
Basic Concepts
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
30
Copyright
1951
Publisher
Springer-Verlag New York
Copyright Holder
Nathan Jacobson
eBook ISBN
978-1-4684-7301-8
DOI
10.1007/978-1-4684-7301-8
Softcover ISBN
978-1-4684-7303-2
Series ISSN
0072-5285
Edition Number
1
Number of Pages
217
Additional Information
Originally published as a monograph
Topics