Theory and Applications
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Semimodular Lattices by Manfred Stern
Book DescriptionIn 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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Book DetailsISBN: 9780521461054
(234mm x 156mm x 22mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-May-1999
Country of Publication: United Kingdom
Books By Author Manfred Stern
Semimodular Lattices, Paperback (September 2009)» View all books by Manfred Stern
A survey of semimodularity that presents theory and applications in discrete mathematics, group theory and universal algebra.
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