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Semimodular Lattices

Name: Semimodular Lattices
Brand: Cambridge University Press
SKU: 02031752
Price: 185.09 EUR
Availability: InStock
Author: Manfred Stern
ISBN: 9780521461054

Theory and Applications

Manfred Stern

Language

English

Book Hardback

Libristo code: 02031752

Publishers Cambridge University Press, May 1999

In Semimodular Lattices: Theory and Applications Manfred Stern uses successive generalizations of di... Full description

Libristo code: 02031752

453 b

185.09 € VAT included

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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.