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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA171.5. SPR FCT 94496 (Browse shelf) | 1 | Available |
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QA171.5.SPR FCT 81719 Lattice theory | QA171.5.SPR FCT 82019 Lattice theory | QA171.5.SPR FCT 82716 Lattices and codes | QA171.5. SPR FCT 94496 The congruences of a finite lattice | QA171.5.SPR FCT 95135 Ensembles ordonnés finis | QA171.5. SPR FCT 97310 The congruences of a finite lattice | QA174 | QA171.5. FCT 96420 Boolean representations of simplicial complexes and matroids |
Colocação: Online
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 Grätzer, 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: 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.
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