Semimodular Lattices

Theory and Applications

AvManfred Stern,G. -C Rota

Inbunden, Engelska, 1999

Del 73 i serien Encyclopedia of Mathematics and its Applications

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Häftad

780 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:1999-05-13
Mått:162 x 244 x 28 mm
Vikt:725 g
Format:Inbunden
Språk:Engelska
Serie:Encyclopedia of Mathematics and its Applications
Antal sidor:388
Förlag:Cambridge University Press
ISBN:9780521461054

Utforska kategorier

Matematikens grunder inom Naturvetenskap och teknik

Recensioner i media

'Researchers working in lattice theory will surely welcome this excellent and up-to-date reference book.' Acta. Sci. Math.

Innehållsförteckning

Preface; 1. From Boolean algebras to semimodular lattices; 2. M-symmetric lattices; 3. Conditions related to semimodularity, 0-conditions and disjointness properties; 4. Supersolvable and admissible lattices, consistent and strong lattices; 5. The covering graph; 6. Semimodular lattices of finite length; 7. Local distributivity; 8. Local modularity; 9. Congruence semimodularity; Master reference list; Table of notation; Index.