Overview

Lattice theory extends into virtually every area of mathematics and offers an ideal framework for understanding basic 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.Both novices and experts will benefit from this treatment, which combines the techniques of an introductory text with those of a monograph. It begins with a concise development of the fundamentals of lattice theory and a detailed exploration of free lattices. The core of the text focuses upon the theory of distributive lattices. Diagrams constitute an integral part of the book, along with 500 exercises and 67 original research problems. Eight appendixes, contributed by a group of experts, complement this accessible and informative text.

Full Product Details

Author:   George Gratzer
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 13.40cm , Height: 1.20cm , Length: 20.70cm
Weight:   0.213kg
ISBN:  

9780486471730

ISBN 10:   048647173
Pages:   240
Publication Date:   29 May 2009
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   No Longer Our Product
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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

Reviews

Author Information

George Grätzer is a Doctor of Science in the Department of Mathematics at Canada's University of Manitoba.

Tab Content 6

Author Website:  

Countries Available

All regions