Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Books
  3. Semimodular Lattices
  • Cited by 74
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
1999
Online ISBN:
9780511665578
DOI:
https://doi.org/10.1017/CBO9780511665578
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

Altmetric attention score

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.