Lattices and Ordered Sets
This book is intended to be a thorough introduction to the subject of ordered sets and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites are kept to a minimum, but an introductory course in ab...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
New York, NY :
Springer New York
2008.
Cham : Springer Nature |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Lattices and ordered sets, Steven Roman, New York, Springer, 2008, 1 vol. (xiv-305 p.), 0-387-78900-6 • Lattices and Ordered Sets, Texte imprimé, 9780387570457 • Lattices and Ordered Sets, Texte imprimé, 9781441927040 |
Sumário:
- Basic Theory
- Partially Ordered Sets
- Well-Ordered Sets
- Lattices
- Modular and Distributive Lattices
- Boolean Algebras
- The Representation of Distributive Lattices
- Algebraic Lattices
- Prime and Maximal Ideals; Separation Theorems
- Congruence Relations on Lattices
- Topics
- Duality for Distributive Lattices: The Priestley Topology
- Free Lattices
- Fixed-Point Theorems.