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Table of contents

  1. Front Matter
    Pages I-X
  2. Peter Jipsen, Henry Rose
    Pages 1-12
  3. Peter Jipsen, Henry Rose
    Pages 13-45
  4. Peter Jipsen, Henry Rose
    Pages 46-76
  5. Peter Jipsen, Henry Rose
    Pages 77-114
  6. Peter Jipsen, Henry Rose
    Pages 115-127
  7. Peter Jipsen, Henry Rose
    Pages 128-148
  8. Back Matter
    Pages 149-162

About this book

Introduction

The study of lattice varieties is a field that has experienced rapid growth in the last 30 years, but many of the interesting and deep results discovered in that period have so far only appeared in research papers. The aim of this monograph is to present the main results about modular and nonmodular varieties, equational bases and the amalgamation property in a uniform way. The first chapter covers preliminaries that make the material accessible to anyone who has had an introductory course in universal algebra. Each subsequent chapter begins with a short historical introduction which sites the original references and then presents the results with complete proofs (in nearly all cases). Numerous diagrams illustrate the beauty of lattice theory and aid in the visualization of many proofs. An extensive index and bibliography also make the monograph a useful reference work.

Keywords

DEX Lattice Microsoft Access algebra diagrams equation field form history of mathematics proof variety visualization

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0090224
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56314-3
  • Online ISBN 978-3-540-47514-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site