Semimodular lattices
Subtitle: theory and applications
By: Manfred Stern.
Series: Encyclopedia of mathematics and its applications ;; v. 73
Publisher: Cambridge University Press
Published: 1999
Place of publication: Cambridge; New York
Language: eng
Number of pages: 370
Subjects: Semimodular lattices.
Description: 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.
Notes: Includes bibliographical references (p. 336-355) and index.