Semimodular Lattices - Theory and Applications

Klappentext A survey of semimodularity that presents theory and applications in discrete mathematics! group theory and universal algebra. Zusammenfassung 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. Inhaltsverzeichnis 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.

Product details

• Authors: Stern Manfred, Manfred Stern
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 03.09.2009
• EAN: 9780521118842
• ISBN: 978-0-521-11884-2
• No. of pages: 388
• Series: Encyclopedia of Mathematics an
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous