Lattice Theory First Concepts and

Lattice theory offers an ideal framework for understanding basic mathematical concepts. This outstanding text is written in clear, direct language and enhanced with many research problems, exercises, diagrams, and concise proofs. The author discusses historical developments as well as future directions and provides extensive end-of-chapter materials and references. 1971 edition.

PREFACE
ACKNOWLEDGMENTS
TABLE OF NOTATION
FIRST CONCEPTS
Two Definitions of Lattices
How to Describe Lattices
Some Algebraic Concepts
Polynomials, Identities, and Inequalities
Free Lattices
Special Elements
Further Topics and References
Problems
DISTRIBUTIVE LATTICES
Characterization Theorems and Representation Theorems
Polynomials and Freeness
Congruence Relations
Boolean Algebras R-generated by Distributive Lattices
Topological Representation
Free Distributive Product
Some Categorical Concepts
Further Topics and References
Problems
DISTRIBUTIVE LATTICES WITH PSEUDOCOMPLEMENTATION
Introduction and Stone Algebras
Identities and Congruences
Representation Theorems
Injective and Free Stone Algebras
Further Topics and References
Problems
BIBLIOGRAPHY
INDEX

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Lattice Theory First Concepts and Distributive Lattices

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Table of Contents

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