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  • Textbook
  • © 1979

Universal Algebra

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  • Provides a self-contained classic text for universal algebras

  • Includes problem sets and exercises perfect for classroom use or self-study

  • Presents an extensive bibliography and several appendices that expand on certain concepts

  • Includes supplementary material: sn.pub/extras

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Table of contents (16 chapters)

  1. Front Matter

    Pages 1-17
  2. Basic Concepts

    • George Grätzer
    Pages 1-32
  3. Subalgebras and Homomorphisms

    • George Grätzer
    Pages 1-46
  4. Partial Algebras

    • George Grätzer
    Pages 1-39
  5. Constructions of Algebras

    • George Grätzer
    Pages 1-44
  6. Free Algebras

    • George Grätzer
    Pages 1-34
  7. Independence

    • George Grätzer
    Pages 1-27
  8. Elements of Model Theory

    • George Grätzer
    Pages 1-47
  9. Free Structures

    • George Grätzer
    Pages 1-30
  10. Appendix 1. General Survey

    • George Grätzer
    Pages 1-11
  11. Appendix 2. The Problems

    • George Grätzer
    Pages 1-6
  12. Appendix 3. Congruence Varieties

    • George Grätzer
    Pages 1-30
  13. Appendix 6 Equational Compactness

    • George Grätzer
    Pages 1-31
  14. Appendix 7 The Independence Proof

    • George Grätzer
    Pages 1-27
  15. Back Matter

    Pages 1-110

About this book

Universal Algebra heralded as ". . . the standard reference in a field notorious for the lack of standardization . . .", has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science.

Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field.

"This book will certainly be, in the years to come, the basic reference to the subject." The American Mathematical Monthly (First Edition)

"In this reviewer's opinion [the author] has more than succeeded in his aim. The problems at the end of each chapter are well-chosen; there are more than 650 of them. The book is especially suitable for self-study, as the author frequently provides ample explanation not only of what he is proving, but also of how and why he is proving it. As a reference work for the specialist or a text for the student, the book is highly recommended." Mathematical Reviews (First Edition)

"Since the first day of its appearance in 1968, this book has been the standard reference in universal algebra, and no book since has reached its quality." Journal of Symbolic Logic (Second Edition)

Authors and Affiliations

  • Dept. Mathematics, University of Manitoba, Winnipeg, Canada

    George Grätzer

About the author

George Grätzer is a Doctor of Science at the University of Manitoba. He authored three other books on LaTex: First Steps in LaTeX and Math into LateX, which is now in its third edition and has sold more than 6000 copies. Math into LaTeX was chosen by the Mathematics Editor of Amazon.com as one of the ten best books of 2000. He has also written many articles and a few books on the subject of lattices and universal algebra. In addition, Grätzer is the founder of the international mathematical journal, Algebra Universalis.

Bibliographic Information

  • Book Title: Universal Algebra

  • Authors: George Grätzer

  • DOI: https://doi.org/10.1007/978-0-387-77487-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1979

  • Softcover ISBN: 978-0-387-77486-2Published: 29 July 2008

  • eBook ISBN: 978-0-387-77487-9Published: 15 December 2008

  • Edition Number: 2

  • Number of Pages: XIX, 583

  • Number of Illustrations: 7 b/w illustrations

  • Topics: Algebra, Commutative Rings and Algebras, Order, Lattices, Ordered Algebraic Structures

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access