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

George Grätzer
Publisher: 
Birkhäuser
Publication Date: 
2006
Number of Pages: 
281
Format: 
Hardcover
Price: 
59.95
ISBN: 
0-8176-3224-7
Category: 
Monograph
We do not plan to review this book.

 

* Table of Notation

* Picture Gallery

* Preface and Acknowledgment

* Introduction

Part I: A Brief Introduction to Lattices

* Basic Concepts

* Special Concepts

* Congruences

Part II: Basic Techniques

* Chopped Lattices

* Boolean Triples

* Cubic Extensions

Part III: Representation Theorems

* The Dilworth Theorem

* Minimal Representations

* Semimodular Lattices

* Modular Lattices

* Uniform Lattices

Part IV: Extensions

* Sectionally Complemented Lattices

* Semimodular Lattices

* Isoform Lattices

* Independence Theorems

* Magic Wands

Part V: Two Lattices

* Sublattices

* Ideals

* Tensor Extensions

* Bibliography

* Index


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