9780817632243
The Congruences Of A Finite Lattice: A 'proof-By-Picture' Approach - George Grätzer
Birkhauser (2005)
In Collection
#7552

Read It:
Yes
Congruence Lattices, Lattice Theory, Mathematics / Algebra / General, Mathematics / Finite Mathematics, Mathematics / Topology

The congruences of a lattice form the congruence lattice. In the past half-century, the study of congruence lattices has become a large and important field with a great number of interesting and deep results and many open problems. This self-contained exposition by one of the leading experts in lattice theory, George GrC$tzer, presents the major results on congruence lattices of finite lattices featuring the author's signature "Proof-by-Picture" method and its conversion to transparencies. Key features: * Includes the latest findings from a pioneering researcher in the field * Insightful discussion of techniques to construct "nice" finite lattices with given congruence lattices and "nice" congruence-preserving extensions * Contains complete proofs, an extensive bibliography and index, and nearly 80 open problems * Additional information provided by the author online at: nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; http: //www.maths.umanitoba.ca/homepages/gratzer.html/ The book is appropriate for a one-semester graduate course in lattice theory, yet is also designed as a practical reference for researchers studying lattices.

Product Details
LoC Classification QA171.5 .G68 2006
Dewey 512
Format Hardcover
Cover Price 44,99 €
No. of Pages 282
Height x Width 250 x 155 mm