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.

Subjects

Series Statement

• Encyclopedia of mathematics and its applications ;

Other Editions

• Semimodular lattices: theory and applicationsCambridge University Press1999-01-01
• Semimodular latticesB.G. Teubner1991-01-01
• Semimodular LatticesCambridge University Press1999-01-01
• Semimodular LatticesCambridge University Press2009-01-01
• Semimodular LatticesCambridge University Press2010-01-01
• Semimodular LatticesVieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH2013-01-01