General Lattice Theory

Bibliographic Details
Main Author: Grätzer, George
Format: eBook
Language:English
Published: Basel Birkhäuser Basel 1978, 1978
Series:Mathematische Reihe Lehrbücher und Monographien aus dem Gebiete der Exakten Wissenschaften
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