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The Congruences of a Finite Lattice A Proof-by-Picture Approach

The congruences of a lattice form the congruence lattice. In the past half-century, the study of congruence lattices has become a large and important field with a great number of interesting and deep results and many open problems. This self-contained exposition by one of the leading experts in latt...

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Bibliographic Details
Main Author: Grätzer, George
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2006, 2006
Edition:1st ed. 2006
Subjects:
Number Theory
Mathematical Logic
Probability Theory
Algebra
Order, Lattices, Ordered Algebraic Structures
Mathematical Logic And Foundations
Probabilities
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • A Brief Introduction to Lattices
  • Basic Concepts
  • Special Concepts
  • Congruences
  • Basic Techniques
  • Chopped Lattices
  • Boolean Triples
  • Cubic Extensions
  • Representation Theorems
  • The Dilworth Theorem
  • Minimal Representations
  • Semimodular Lattices
  • Modular Lattices
  • Uniform Lattices
  • Extensions
  • Sectionally Complemented Lattices
  • Semimodular Lattices
  • Isoform Lattices
  • Independence Theorems
  • Magic Wands
  • Two Lattices
  • Sublattices
  • Ideals
  • Tensor Extensions

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