Lattice Theory: Special Topics and Applications: Volume 1

Editat de George Grätzer, Friedrich Wehrung
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George Gratzer'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 Gratzer.
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ISBN-13: 9783319064123
ISBN-10: 3319064126
Pagini: 481
Ilustrații: 78 schwarz-weiße Abbildungen, Bibliographie
Dimensiuni: 168 x 240 x 27 mm
Greutate: 0.82 kg
Ediția: 2014
Editura: Springer
Colecția Birkhäuser
Locul publicării: Cham, Switzerland

Public țintă


Notă biografică

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.


Standard reference work for researchers in this area
First supplementary volume to the revised and enlarged third edition of General Lattice Theory (Lattice Theory: Foundations)
Together with Foundations the most comprehensive work on an explosively growing field


Varieties of Lattices.- Free and Finitely Presented Lattices.- Classes of Semidistributive Lattices.- Lattices of Algebraic Subsets and Implicational Classes.- Convex Geometries.- Bases of Closure Systems.- Permutohedra and Associahedra.- Generalizations of the Permutohedron.- Lattice Theory of the Poset of Regions.- Finite Coxeter Groups and the Weak Order.

Textul de pe ultima copertă

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, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation.

This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.