The congruences of a finite lattice : a proof-by-picture approach
著者
書誌事項
The congruences of a finite lattice : a proof-by-picture approach
Birkhäuser, c2006
大学図書館所蔵 全9件
注記
Includes bibliographical references (p. [265]-273) and index
内容説明・目次
内容説明
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 author's 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
目次
* 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
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