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by George Grätzer
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ISBN: 048647173X Dover Publications Price: $9.95 |
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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.
Reprint of the W. H. Freeman and Company, San Francisco, 1971 edition.
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Table of Contents for Lattice Theory: First Concepts and Distributive Lattices
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