Lattice Theory: Special Topics and Applications
Volume 1
Published on 9. September 2014
Book
Paperback/Softback
XIII, 468 pages
978-3-319-06412-3 (ISBN)
Description
George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This first volume is divided into three parts. Part I. Topology and Lattices includes two chapters by Klaus Keimel, Jimmie Lawson and Ales Pultr, Jiri Sichler. Part II. Special Classes of Finite Lattices comprises four chapters by Gabor Czedli, George Grätzer and Joseph P. S. Kung. Part III. Congruence Lattices of Infinite Lattices and Beyond includes four chapters by Friedrich Wehrung and George Grätzer.
More details
Product info
Book
Language
English
Place of publication
Cham
Switzerland
Target group
Graduate
Illustrations
78 s/w Abbildungen
78 schwarz-weiße Abbildungen, Bibliographie
Dimensions
Height: 241 mm
Width: 172 mm
Thickness: 27 mm
Weight
820 gr
ISBN-13
978-3-319-06412-3 (9783319064123)
DOI
10.1007/978-3-319-06413-0
Schweitzer Classification
Other editions
Additional editions
E-Book
08/2014
1st Edition
Birkhäuser
€96.29
Available for download
Persons
George Grätzer, Member of the Canadian Academy of Sciences and Foreign Member of the Hungarian Academy of Sciences, is the author of 26 books in five languages and about 260 articles, most of them on his research in lattice theory.
Friedrich Wehrung is professor at the University of Caen and an associate editor for Algebra Universalis, a mathematical journal devoted to universal algebra and lattice theory. He is the author of numerous publications in the field and wrote an appendix to the second edition of Grätzer's General Lattice Theory.
Friedrich Wehrung is professor at the University of Caen and an associate editor for Algebra Universalis, a mathematical journal devoted to universal algebra and lattice theory. He is the author of numerous publications in the field and wrote an appendix to the second edition of Grätzer's General Lattice Theory.
Content
Introduction. Part I Topology and Lattices.- Chapter 1. Continuous and Completely Distributive Lattices.- Chapter 2. Frames: Topology Without Points.- Part II. Special Classes of Finite Lattices.- Chapter 3. Planar Semi modular Lattices: Structure and Diagram.- Chapter 4. Planar Semi modular Lattices: Congruences.- Chapter 5. Sectionally Complemented Lattices.- Chapter 6. Combinatorics in finite lattices.- Part III. Congruence Lattices of Infinite Lattices and Beyond.- Chapter 7. Schmidt and Pudlák's Approaches to CLP.- Chapter 8. Congruences of lattices and ideals of rings.- Chapter 9. Liftable and Unliftable Diagrams.- Chapter 10. Two topics related to congruence lattices of lattices.