Lattice theory : foundation
This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication of the first edition in 1978, General Lattice Theory has become the authoritative introduction to lattice theory...
Enregistré dans:
| 主要作者: | |
|---|---|
| 格式: | Livre numérique |
| 語言: | Anglais |
| 出版: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2011. |
| 在線閱讀: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
Description d'après consultation du 26 février 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Lattice theory, foundation, George Grätzer, 2011, Basel, Birkhauser, Springer Basel AG, 1 vol.(XXIX-613 p.), 978-3-0348-0017-4 |
書本目錄:
- Preface Introduction Glossary of Notation I First Concepts 1 Two Definitions of Lattices 2 How to Describe Lattices 3 Some Basic Concepts 4 Terms, Identities, and Inequalities 5 Free Lattices 6 Special Elements II Distributive Lattices 1 Characterization and Representation Theorems 2 Terms and Freeness 3 Congruence Relations 4 Boolean Algebras 5 Topological Representation 6 Pseudocomplementation III Congruences 1 Congruence Spreading 2 Distributive, Standard, and Neutral Elements 3 Distributive, Standard, and Neutral Ideals 4 Structure Theorems IV Lattice Constructions 1 Adding an Element 2 Gluing 3 Chopped Lattices 4 Constructing Lattices with Given Congruence Lattices 5 Boolean Triples V Modular and Semimodular Lattices 1 Modular Lattices 2 Semimodular Lattices 3 Geometric Lattices 4 Partition Lattices 5 Complemented Modular Lattices VI Varieties of Lattices 1 Characterizations of Varieties 397 2 The Lattice of Varieties of Lattices 3 Finding Equational Bases 4 The Amalgamation Property VII Free Products 1 Free Products of Lattices 2 The Structure of Free Lattices 3 Reduced Free Products 4 Hopfian Lattices Afterword Bibliography