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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1999
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| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 73 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 370 pages) |
| ISBN: | 9780511665578 |
| DOI: | 10.1017/CBO9780511665578 |
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| 245 | 1 | 0 | |a Semimodular lattices |b theory and applications |c Manfred Stern |
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| 300 | |a 1 online resource (xiv, 370 pages) | ||
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | 0 | |g 1 |t From Boolean Algebras to Semimodular Lattices |g 2 |t M-Symmetric Lattices |g 3 |t Conditions Related to Semimodularity, 0-Conditions, and Disjointness Properties |g 4 |t Supersolvable and Admissible Lattices; Consistent and Strong Lattices |g 5 |t The Covering Graph |g 6 |t Semimodular Lattices of Finite Length |g 7 |t Local Distributivity |g 8 |t Local Modularity |g 9 |t Congruence Semimodularity |
| 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 | ||
| 650 | 4 | |a Semimodular lattices | |
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Datensatz im Suchindex
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| author | Stern, Manfred 1946-2018 |
| author_GND | (DE-588)143508350 |
| author_facet | Stern, Manfred 1946-2018 |
| author_role | aut |
| author_sort | Stern, Manfred 1946-2018 |
| author_variant | m s ms |
| building | Verbundindex |
| bvnumber | BV043940140 |
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| contents | From Boolean Algebras to Semimodular Lattices M-Symmetric Lattices Conditions Related to Semimodularity, 0-Conditions, and Disjointness Properties Supersolvable and Admissible Lattices; Consistent and Strong Lattices The Covering Graph Semimodular Lattices of Finite Length Local Distributivity Local Modularity Congruence Semimodularity |
| ctrlnum | (ZDB-20-CBO)CR9780511665578 (OCoLC)849877071 (DE-599)BVBBV043940140 |
| dewey-full | 511.3/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/3 |
| dewey-search | 511.3/3 |
| dewey-sort | 3511.3 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511665578 |
| format | Electronic eBook |
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| id | DE-604.BV043940140 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:12Z |
| institution | BVB |
| isbn | 9780511665578 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349110 |
| oclc_num | 849877071 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xiv, 370 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Stern, Manfred 1946-2018 Verfasser (DE-588)143508350 aut Semimodular lattices theory and applications Manfred Stern Cambridge Cambridge University Press 1999 1 online resource (xiv, 370 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 73 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 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 Semimodular lattices Erscheint auch als Druckausgabe 978-0-521-11884-2 Erscheint auch als Druckausgabe 978-0-521-46105-4 https://doi.org/10.1017/CBO9780511665578 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Stern, Manfred 1946-2018 Semimodular lattices theory and applications From Boolean Algebras to Semimodular Lattices M-Symmetric Lattices Conditions Related to Semimodularity, 0-Conditions, and Disjointness Properties Supersolvable and Admissible Lattices; Consistent and Strong Lattices The Covering Graph Semimodular Lattices of Finite Length Local Distributivity Local Modularity Congruence Semimodularity Semimodular lattices |
| title | Semimodular lattices theory and applications |
| title_alt | From Boolean Algebras to Semimodular Lattices M-Symmetric Lattices Conditions Related to Semimodularity, 0-Conditions, and Disjointness Properties Supersolvable and Admissible Lattices; Consistent and Strong Lattices The Covering Graph Semimodular Lattices of Finite Length Local Distributivity Local Modularity Congruence Semimodularity |
| 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 |
| topic | Semimodular lattices |
| topic_facet | Semimodular lattices |
| url | https://doi.org/10.1017/CBO9780511665578 |
| work_keys_str_mv | AT sternmanfred semimodularlatticestheoryandapplications |