01662nmm a2200241 u 4500001001200000003002700012005001700039007002400056008004100080020001800121050001200139100001900151245006500170260004800235300002800283653002500311041001900336989003200355490005300387856006300440082001100503520090600514EB001383218EBX0100000000000000090618300000000000000.0cr|||||||||||||||||||||170324 ||| eng a9780511665578 4aQA171.51 aStern, Manfred00aSemimodular latticesbtheory and applicationscManfred Stern aCambridgebCambridge University Pressc1999 axiv, 370 pagesbdigital aSemimodular lattices07aeng2ISO 639-2 bCBOaCambridge Books Online0 aEncyclopedia of mathematics and its applications uhttps://doi.org/10.1017/CBO9780511665578xVerlag3Volltext0 a511.33 aIn 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