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Lattice Theory: Special Topics and Applications

Volume 2

Editors: Grätzer, George, Wehrung, Friedrich (Eds.)

  • Standard reference work for researchers in this area
  • Second supplementary volume to the revised and enlarged third edition of General Lattice Theory (Lattice Theory: Foundations)
  • Together with Foundations the most comprehensive work on an explosively growing field
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eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-44236-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.00
price for USA
  • ISBN 978-3-319-44235-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person.


So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation.


This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.

About the authors

George Grätzer, Member of the Canadian Academy of Sciences and Foreign Member of the Hungarian Academy of Sciences, is the author of 26 books in five languages and about 270 articles, most of them on his research in lattice theory.

Friedrich Wehrung is professor at the University of Caen and an associate editor for Algebra Universalis, a mathematical journal devoted to universal algebra and lattice theory. He is the author of numerous publications in the field and wrote an appendix to the second edition of Grätzer's General Lattice Theory.

Table of contents (10 chapters)

  • Varieties of Lattices

    Jipsen, P. (et al.)

    Pages 1-26

  • Free and Finitely Presented Lattices

    Freese, R. (et al.)

    Pages 27-58

  • Classes of Semidistributive Lattices

    Adaricheva, K. (et al.)

    Pages 59-101

  • Lattices of Algebraic Subsets and Implicational Classes

    Adaricheva, K. (et al.)

    Pages 103-151

  • Convex Geometries

    Adaricheva, K. (et al.)

    Pages 153-179

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-44236-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.00
price for USA
  • ISBN 978-3-319-44235-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lattice Theory: Special Topics and Applications
Book Subtitle
Volume 2
Editors
  • George Grätzer
  • Friedrich Wehrung
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-44236-5
DOI
10.1007/978-3-319-44236-5
Softcover ISBN
978-3-319-44235-8
Edition Number
1
Number of Pages
XV, 616
Number of Illustrations and Tables
136 b/w illustrations
Topics