Semimodular Lattices : Theory and Applications
Book Details
Format
Hardback or Cased Book
Book Series
Encyclopedia of Mathematics and its Applications
ISBN-10
0521461057
ISBN-13
9780521461054
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
May 13th, 1999
Print length
388 Pages
Weight
744 grams
Dimensions
21.50 x 24.00 x 3.10 cms
Product Classification:
Mathematical logic
Ksh 24,650.00
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Semimodular Lattices: Theory and Applications uses successive generalizations of distributive and modular lattices to outline the development of semimodular lattices from Boolean algebras. It surveys and analyzes Garrett Birkhoff's concept of semimodularity, and he presents theoretical results as well as applications in discrete mathematics, group theory and universal algebra.
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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