UID:
almafu_9958071147702883
Umfang:
1 online resource (397 p.)
ISBN:
1-281-74260-0
,
9786611742607
,
0-08-087391-X
Serie:
Pure and applied mathematics : a series of monographs and textbooks ; 75
Inhalt:
General lattice theory
Anmerkung:
Description based upon print version of record.
,
Front Cover; General Lattice Theory; Copyright Page; Contents; Preface and Acknowledgements; Introduction; CHAPTER I. FIRST CONCEPTS; 1. Two Definitions of Lattices; 2. How to Describe Lattices; 3. Some Algebraic Concepts; 4. Polynomials, Identities, and Inequalities; 5. Free Lattices; 6. Special Elements; Further Topics and References; Problems; CHAPTER II. DISTRIBUTIVE LATTICES; 1. Characterization Theorems and Representation Theorems; 3. Congruence Relations; 4. Boolean Algebras R-generated by Distributive Lattices; 5. Topological Representation
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6. Distributive Lattices with PseudocomplementationFurther Topics and References; Problems; CHAPTER III. CONGRUENCES AND IDEALS; 1. Weak Projectivity and Congruences; 2. Polynomials and Freeness; 2. Distributive, Standard, and Neutral Elements; 3. Distributive, Standard, and Neutral Ideals; 4. Structure Theorems; Further Topics and References; Problems; CHAPTER IV. MODULAR AND SEMIMODULAR LATTICES; 1. Modular Lattices; 2. Semimodular Lattices; 3. Geometric Lattices; 4. Partition Lattices; 5. Complemented Modular Lattices; Further Topics and References; Problems
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CHAPTER V. EQUATIONAL CLASSES OF LATTICES1. Characterizations of Equational Classes; 2. The Lattice of Equational Classes of Lattices; 3. Finding Equational Bases; 4. The Amalgamation Property; Further Topics and References; Problems; CHAPTER VI. FREE PRODUCTS; 1. Free Products of Lattices; 2. The Structure of Free Lattices; 3. Reduced Free Products; 4. Hopfien Lattices; Further Topics and References; Problems; CONCLUDING REMARKS; BIBLIOGRAPHY; TABLE OF NOTATION; INDEX
,
English
Weitere Ausg.:
ISBN 0-12-295750-4
Sprache:
Englisch
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