The congruences of a finite lattice a proof-by-picture approach

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 latt...

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Detalles Bibliográficos
Autor principal: Gratzer, George A. (-)
Formato: Libro
Idioma:Inglés
Publicado: Boston ; Basel : Birkhäuser c2006
Materias:
Ver en Universidad de Navarra:https://unika.unav.edu/discovery/fulldisplay?docid=alma991000483339708016&context=L&vid=34UNAV_INST:VU1&search_scope=34UNAV_TODO&tab=34UNAV_TODO&lang=es
Descripción
Sumario: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: 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.
Descripción Física:xxii, 281 p. : il. ; 25 cm
Bibliografía:Incluye bibliografía (p. [265]-273) e índice
ISBN:9780817632243