Lattice Theory

Klappentext This outstanding text is written in clear language and enhanced with many exercises, diagrams, and proofs. It discusses historical developments and future directions and provides an extensive bibliography and references. 1971 edition. Inhaltsverzeichnis PREFACEACKNOWLEDGMENTSTABLE OF NOTATIONFIRST CONCEPTSTwo Definitions of LatticesHow to Describe LatticesSome Algebraic ConceptsPolynomials, Identities, and InequalitiesFree LatticesSpecial ElementsFurther Topics and ReferencesProblemsDISTRIBUTIVE LATTICESCharacterization Theorems and Representation TheoremsPolynomials and FreenessCongruence RelationsBoolean Algebras R-generated by Distributive LatticesTopological RepresentationFree Distributive ProductSome Categorical ConceptsFurther Topics and ReferencesProblemsDISTRIBUTIVE LATTICES WITH PSEUDOCOMPLEMENTATIONIntroduction and Stone AlgebrasIdentities and CongruencesRepresentation TheoremsInjective and Free Stone AlgebrasFurther Topics and ReferencesProblemsBIBLIOGRAPHYINDEX

Inhalt
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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