Semimodular lattices theory and applications
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 applicat...
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| Format: | E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
1999
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| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 73 |
| Online-Zugang: | Volltext |
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| 490 | 1 | |a Encyclopedia of mathematics and its applications |v volume 73 | |
| 520 | |a 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. | ||
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| id | ZDB-20-CTM-CR9780511665578 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-18T12:04:29Z |
| institution | BVB |
| isbn | 9780511665578 |
| language | English |
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| publisher | Cambridge University Press |
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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Stern, Manfred Semimodular lattices theory and applications Manfred Stern Cambridge Cambridge University Press 1999 1 Online-Ressource (xiv, 370 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 73 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. Erscheint auch als Druck-Ausgabe 9780521118842 Erscheint auch als Druck-Ausgabe 9780521461054 TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/CBO9780511665578 Volltext |
| spellingShingle | Stern, Manfred Semimodular lattices theory and applications |
| title | Semimodular lattices theory and applications |
| title_auth | Semimodular lattices theory and applications |
| title_exact_search | Semimodular lattices theory and applications |
| title_full | Semimodular lattices theory and applications Manfred Stern |
| title_fullStr | Semimodular lattices theory and applications Manfred Stern |
| title_full_unstemmed | Semimodular lattices theory and applications Manfred Stern |
| title_short | Semimodular lattices |
| title_sort | semimodular lattices theory and applications |
| title_sub | theory and applications |
| url | https://doi.org/10.1017/CBO9780511665578 |
| work_keys_str_mv | AT sternmanfred semimodularlatticestheoryandapplications |