General Lattice Theory
Main Author: | |
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Format: | eBook |
Language: | English |
Published: |
Basel
Birkhäuser Basel
1978, 1978
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Series: | Mathematische Reihe Lehrbücher und Monographien aus dem Gebiete der Exakten Wissenschaften
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. First Concepts
- 1. Two Definitions of Lattices
- 2. How to Describe Lattices
- 3. Some Algebraic Concepts
- 4. Polynomials, Identities, and Inequalities
- 5. Free Lattices
- 6. Special Elements
- Further Topics and References
- Problems
- II. Distributive Lattices
- 1. Characterization Theorems and Representation Theorems
- 2. Polynomials and Freeness
- 3. Congruence Relations
- 4. Boolean Algebras R-generated by Distributive Lattices
- 5. Topological Representation
- 6. Distributive Lattices with Pseudocomplementation
- Further Topics and References
- Problems
- III. Congruences and Ideals
- 1. Weak Projectivity and Congruences
- 2. Distributive, Standard, and Neutral Elements
- 3. Distributive, Standard, and Neutral Ideals
- 4. Structure Theorems
- Further Topics and References
- Problems
- IV. Modular and Semimodular Lattices
- 1. Modular Lattices
- 2. Semimodular Lattices
- 3. Geometric Lattices
- 4. Partition Lattices
- 5. Complemented Modular