Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Semimodular Lattices
  • Cited by 76
      • Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      May 2010
      May 1999
      ISBN:
      9780511665578
      9780521461054
      9780521118842
      DOI:
      https://doi.org/10.1017/CBO9780511665578
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.725kg, 388 Pages
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.57kg, 388 Pages
      • Subjects:
      Mathematics (general), Mathematics, Logic, Categories and Sets
      Series:
      Encyclopedia of Mathematics and its Applications (73)
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics (general), Mathematics, Logic, Categories and Sets
    Series:
    Encyclopedia of Mathematics and its Applications (73)
    Information

    Book description

    In Semimodular Lattices: Theory and Applications Manfred Stern uses successive generalizations of distributive and modular lattices to outline the development of semimodular lattices from Boolean algebras. He focuses on the important theory of semimodularity, its many ramifications, and its applications in discrete mathematics, combinatorics, and algebra. The book surveys and analyzes Garrett Birkhoff's concept of semimodularity and the various related concepts in lattice theory, and it presents theoretical results as well as applications in discrete mathematics group theory and universal algebra. The author also deals with lattices that are 'close' to semimodularity or can be combined with semimodularity, e.g. supersolvable, admissible, consistent, strong, and balanced lattices. Researchers in lattice theory, discrete mathematics, combinatorics, and algebra will find this book invaluable.

    Reviews

    ‘Researchers working in lattice theory will surely welcome this excellent and up-to-date reference book.’

    Source: Acta. Sci. Math.

    ‘I recommend the book highly to all interested readers, both experts and non-experts.’

    Stefan E. Schmidt Source: Bulletin of the London Mathematical Society

    ‘… a very well organized book … a pleasure to read … will certainly become a standard source.’

    Horst Szambien Source: Zentralblatt MATH

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.