Semimodular Lattices : Theory and Applications /

A survey of semimodularity that presents theory and applications in discrete mathematics, group theory and universal algebra.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Stern, Manfred
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 1999.
Colección:Encyclopedia of mathematics and its applications ; no. 73.
Temas:
Semimodular lattices.
Treillis semi-modulaires.
MATHEMATICS > General.
Semimodular lattices
Acceso en línea:Texto completo

MARC

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245 1 0 |a Semimodular Lattices :  |b Theory and Applications /  |c Manfred Stern. 
260 |a Cambridge :  |b Cambridge University Press,  |c 1999. 
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490 1 |a Encyclopedia of Mathematics and its Applications ;  |v no. 73 
588 0 |a Print version record. 
500 |a Title from publishers bibliographic system (viewed 22 Dec 2011). 
520 |a A survey of semimodularity that presents theory and applications in discrete mathematics, group theory and universal algebra. 
505 0 |a Cover -- Title -- Copyright -- Contents -- Preface -- 1 From Boolean Algebras to Semimodular Lattices -- 1.1 Sources of Semimodularity -- Boolean Algebras and Distributive Lattices -- Modular Lattices -- Semimodular Lattices -- Conditions Related to Semimodularity -- Local Distributivity and Local Modularity -- Notes -- References -- 1.2 Boolean Lattices, Ortholattices, and Orthomodular Lattices -- Notes -- References -- 1.3 Distributive and Semidistributive Lattices -- Notes -- References -- 1.4 Pseudocomplemented Lattices -- References -- 1.5 Complementation -- Notes -- References. 
505 8 |a 1.6 Modular Lattices -- Notes -- References -- 1.7 Upper and Lower Semimodularity -- Notes -- Exercises -- References -- 1.8 Existence of Decompositions -- Notes -- Exercises -- References -- 1.9 The Jordan-Dedekind Chain Condition -- Notes -- Exercises -- References -- 2 M-Symmetric Lattices -- 2.1 Modular Pairs and Modular Elements -- Notes -- Exercises -- References -- 2.2 Distributive, Standard, and Neutral Elements -- Notes -- Exercises -- References -- 2.3 M-Symmetry and Related Concepts -- Notes -- Exercises -- References -- 2.4 Wilcox Lattices -- Notes -- Exercises -- References. 
505 8 |a 2.5 Finite-Modular and Weakly Modular AC Lattices -- Notes -- Exercises -- References -- 2.6 Orthomodular M-Symmetric Lattices -- Notes -- Exercises -- References -- 3 Conditions Related to Semimodularity, O-Conditions, and Disjointness Properties -- 3.1 Mac Lane's Condition -- Notes -- Exercises -- References -- 3.2 Conditions for the Ideal Lattice -- Notes -- Exercises -- References -- 3.3 Interrelationships in Lattices with a Chain Condition -- Notes -- Exercises -- References -- 3.4 0-Conditions and Disjointness Properties -- Notes -- Exercises -- References. 
505 8 |a 3.5 Interrelationships in Lattices with Complementation -- Exercises -- References -- 4 Supersolvable and Admissible Lattices -- Consistent and Strong Lattices -- 4.1 The Mobius Function -- Notes -- Exercises -- References -- 4.2 Complements and Fixed Points -- Notes -- Exercises -- References -- 4.3 Supersolvable Lattices -- Notes -- Exercises -- References -- 4.4 Admissible Lattices and Cohen-Macaulay Posets -- Notes -- Exercises -- References -- 4.5 Consistent Lattices -- Notes -- Exercises -- References -- 4.6 Strong Lattices and Balanced Lattices -- Notes -- Exercises -- References. 
505 8 |a 5 The Covering Graph -- 5.1 Diagrams and Covering Graphs -- Notes -- References -- 5.2 Path Length -- Notes -- Exercises -- References -- 5.3 Graph Isomorphisms of Graded Balanced Lattices -- Notes -- Exercises -- References -- 5.4 Semimodular Lattices with Isomorphic Covering Graphs -- Notes -- References -- 5.5 Centrally Symmetric Graphs and Lattices -- Notes -- Exercises -- References -- 5.6 Subgraphs of the Covering Graph -- Notes -- Exercises -- References -- 6 Semimodular Lattices of Finite Length -- 6.1 Rank and Covering Inequalities -- Notes -- Exercises -- References -- 6.2 Embeddings. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Semimodular lattices. 
650 6 |a Treillis semi-modulaires. 
650 7 |a MATHEMATICS  |x General.  |2 bisacsh 
650 7 |a Semimodular lattices  |2 fast 
776 0 8 |i Print version:  |a Stern, Manfred.  |t Semimodular Lattices.  |d Cambridge : Cambridge University Press, 1999  |z 9780511665578 
830 0 |a Encyclopedia of mathematics and its applications ;  |v no. 73. 
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