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The Congruences Of A Finite Lattice A Proof-By-Picture Approach at Meripustak

The Congruences Of A Finite Lattice A Proof-By-Picture Approach

Books from same Author: George A. Gratzer

Books from same Publisher: Springer

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    • General Information  
    Author(s)George A. Gratzer
    PublisherSpringer
    ISBN9780817632243
    Pages308
    BindingHardback
    LanguageEnglish
    Publish YearDecember 2005

    Description

    Springer The Congruences Of A Finite Lattice A Proof-By-Picture Approach by George A. Gratzer

    Self-contained exposition presents the major results on congruence lattices of finite lattices Includes the latest findings from a pioneering researcher in the field Features the authors signature "Proof-by-Picture" method and its conversion to transparencies Contains complete proofs, an extensive bibliography and index, and nearly 80 open problems Excellent grad text and reference_x000D_ _x000D_* Table of Notation * Picture Gallery * Preface and Acknowledgment * Introduction Part I: A Brief Introduction to Lattices * Basic Concepts * Special Concepts * Congruences Part II: Basic Techniques * Chopped Lattices * Boolean Triples * Cubic Extensions Part III: Representation Theorems * The Dilworth Theorem * Minimal Representations * Semimodular Lattices * Modular Lattices * Uniform Lattices Part IV: Extensions * Sectionally Complemented Lattices * Semimodular Lattices * Isoform Lattices * Independence Theorems * Magic Wands Part V: Two Lattices * Sublattices * Ideals * Tensor Extensions * Bibliography * Index_x000D_