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 (Author)
Corporate Author:	SpringerLink (Online service)
Format:	Electronic eBook
Language:	English
Published:	Boston, MA : Birkhäuser Boston, 2006.
Subjects:	Mathematics. Algebra. Ordered algebraic structures. Mathematical logic. Number theory. Probabilities. Order, Lattices, Ordered Algebraic Structures. Mathematical Logic and Foundations. Probability Theory and Stochastic Processes. Number Theory.
Online Access:	Full Text via HEAL-Link

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.

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

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