Book:George A. Grätzer/Lattice Theory

George A. Grätzer: Lattice Theory

Published $\text {1971}$, Freeman

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