Lattice Theory: Special Topics and Applications

Volume 1

Häftad, Engelska, 2014

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Beskrivning

George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). Congruence Lattices of Infinite Lattices and Beyond includes four chapters by Friedrich Wehrung and George Grätzer.

Produktinformation

Utgivningsdatum:2014-09-09
Mått:168 x 240 x 27 mm
Vikt:804 g
Format:Häftad
Språk:Engelska
Antal sidor:468
Upplaga:2014
Förlag:Birkhauser Verlag AG
ISBN:9783319064123

Utforska kategorier

Matematikens grunder inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

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.