Lattice Theory: Special Topics and Applications

Volume 1

George Grätzer, Friedrich Wehrung (Herausgeber)

Buch | Softcover

XIII, 468 Seiten

2014 | 2014
Springer International Publishing (Verlag)
978-3-319-06412-3 (ISBN)

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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.

Prof. George Grätzer ist Emeritus an der Universität Manitoba, Canada, hat eine Reihe von Büchern geschrieben und ist Editor-in-Chief der von ihm gegründeten Zeitschrift "Algebra Universalis". Er hat mehr als 200 Fachartikel verfasst.

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.

Erscheint lt. Verlag	9.9.2014
Zusatzinfo	XIII, 468 p. 78 illus.
Verlagsort	Cham
Sprache	englisch
Maße	168 x 240 mm
Gewicht	814 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	combinatorics • congruence lattice • finite lattice • lattice theory • Topology
ISBN-10	3-319-06412-6 / 3319064126
ISBN-13	978-3-319-06412-3 / 9783319064123
Zustand	Neuware