Skip to main content
SpringerLink
Log in

Varieties of Lattices

  • Book
  • © 1992

Overview

Authors:
  1. Peter Jipsen
    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Henry Rose
    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1533)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (6 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Preliminaries

    • Peter Jipsen, Henry Rose
    Pages 1-12

  3. General results

    • Peter Jipsen, Henry Rose
    Pages 13-45

  4. Modular varieties

    • Peter Jipsen, Henry Rose
    Pages 46-76

  5. Nonmodular varieties

    • Peter Jipsen, Henry Rose
    Pages 77-114

  6. Equational bases

    • Peter Jipsen, Henry Rose
    Pages 115-127

  7. Amalgamation in lattice varieties

    • Peter Jipsen, Henry Rose
    Pages 128-148

  8. Back Matter

    Pages 149-162
    Download chapter PDF
Back to top

Keywords

About this book

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.

Bibliographic Information

  • Book Title: Varieties of Lattices

  • Authors: Peter Jipsen, Henry Rose

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0090224

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-540-56314-3Published: 14 December 1992

  • eBook ISBN: 978-3-540-47514-9Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 166

  • Topics: Algebra

Publish with us

Policies and ethics

Back to top

Search

Navigation