Combines the techniques of an introductory text with those of a monograph to introduce the general reader to lattice theory & to bring the expert up to date on the most recent developments. This present edition has been significantly updated & expanded.
General lattice theory
✍ Scribed by George Grätzer
- Publisher
- Academic Press, Elsevier
- Year
- 1978
- Leaves
- 387
- Series
- Pure and Applied Mathematics 75
- Category
- Library
No coin nor oath required. For personal study only.
✦ Table of Contents
Content:
Edited by
Page iii
Copyright page
Page iv
Dedication
Page iv
Preface and Acknowledgements
Pages ix-x
Introduction
Pages xi-xiii
Chapter I: First Concepts
Pages 1-58
Chapter II: Distributive Latices
Pages 59-128
Chapter III: Congruences and Ideals
Pages 129-160
Chapter IV: Modular and Semimodular Lattices
Pages 161-226
Chapter V: Equational Classes of Lattices
Pages 227-263
Chapter VI: Free Products
Pages 265-309
Concluding Remarks
Pages 311-315
Bibliography
Pages 316-361
Table of Notation
Pages 362-364
Index
Pages 365-381
📜 SIMILAR VOLUMES
In this present edition, the work has been significantly updated and expanded. It contains an extensive new bibliography of 530 items and has been supplemented by eight appendices authored by an exceptional group of experts. The first appendix, written by the author, briefly reviews developments in
<P>"Grätzer’s 'General Lattice Theory' has become the lattice theorist’s bible. Now we have the second edition, in which the old testament is augmented by a new testament. The new testament gospel is provided by leading and acknowledged experts in their fields. This is an excellent and engaging seco
In the first half of the nineteenth century, George Boole's attempt to formalize propositional logic led to the concept of Boolean algebras. While investigating the axiomatics of Boolean algebras at the end of the nineteenth century, Charles S. Peirce and Ernst Schröder found it useful to introduce