Book:George A. Grätzer/Lattice Theory
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George A. Grätzer: Lattice Theory
Published $\text {1971}$, Freeman
Subject Matter
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