Semimodular Lattices
eBook - PDF

Semimodular Lattices

Theory and Applications

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Semimodular Lattices

Theory and Applications

About this book

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.

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Yes, you can access Semimodular Lattices by Manfred Stern in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Contents
  5. Preface
  6. 1 From Boolean Algebras to Semimodular Lattices
  7. 2 M-Symmetric Lattices
  8. 3 Conditions Related to Semimodularity, O-Conditions, and Disjointness Properties
  9. 4 Supersolvable and Admissible Lattices; Consistent and Strong Lattices
  10. 5 The Covering Graph
  11. 6 Semimodular Lattices of Finite Length
  12. 7 Local Distributive
  13. 8 Local Modularity
  14. 9 Congruence Semimodularity
  15. Master Reference List
  16. Table of Notation
  17. Index