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...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Language: | English |
| Published: |
New York, NY :
Springer New York : Imprint: Springer,
2008.
|
| Edition: | 1st ed. 2008. |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-0-387-78901-9 |
Table of Contents:
- 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.