Book:George A. Grätzer/Lattice Theory

Subject Matter

 * Lattice Theory

Contents
PREFACE

ACKNOWLEDGEMENTS

TABLE OF NOTATION

$1.\quad$FIRST CONCEPTS
 * $\,\,1.\quad$Two Definitions of Lattices
 * $\,\,2.\quad$How to Describe Lattices
 * $\,\,3.\quad$Some Algebraic Concepts
 * $\,\,4.\quad$Polynomials, Identities, and Inequalities
 * $\,\,5.\quad$Four Lattices
 * $\,\,6.\quad$Special Elements
 * $\quad\quad\,$Further Topics and References
 * $\quad\quad\,$Problems

$2.\quad$DISTRIBUTIVE LATTICES
 * $\,\,7.\quad$Characterization Theorems and Representation Theorem
 * $\,\,8.\quad$Polynomial and Freeness
 * $\,\,9.\quad$Congruence Relations
 * $10.\quad$Boolean Algebras $R$-generated by Distributive Lattices
 * $11.\quad$Topological Representation
 * $12.\quad$Free Distributive Product
 * $13.\quad$Some Categorical Concepts
 * $\quad\quad\,\,$Further Topics and References
 * $\quad\quad\,\,$Problems

$3.\quad$DISTRIBUTIVE LATTICES WITH PSEUDOCOMPLIMENTATION
 * $14.\quad$Introduction and Stone Algebras
 * $15.\quad$Identities and Congruences
 * $16.\quad$Representation Theorems
 * $17.\quad$Injective and Free Stone Algebras
 * $\quad\quad\,\,$Further Topics and References
 * $\quad\quad\,\,$Problems

BIBLIOGRAPHY

INDEX