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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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Boston, MA :
Birkhäuser Boston : Springer e-books
[20..].
Cham : Springer Nature |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 27 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The congruences of a finite lattice, a proof-by-picture approach, George Grätzer, Boston, Birkhäuser, 2006, 1 vol. (XXII- 281 p.), 0-8176-3224-7 |
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| 100 | 1 | |a Gratzer, George A., |d 1936-...., |c mathématicien. | |
| 245 | 1 | 0 | |a The congruences of a finite lattice : |b a proof-by-picture approach |c George Grätzer. |
| 260 | |a Boston, MA : |b Birkhäuser Boston : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Description d'après consultation du 27 avril 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [265]-273. Index | ||
| 505 | 1 | |a A Brief Introduction to Lattices Basic Concepts Special Concepts Congruences Basic Techniques Chopped Lattices Boolean Triples Cubic Extensions Representation Theorems The Dilworth Theorem Minimal Representations Semimodular Lattices Modular Lattices Uniform Lattices Extensions Sectionally Complemented Lattices Semimodular Lattices Isoform Lattices Independence Theorems Magic Wands Two Lattices Sublattices Ideals Tensor Extensions | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Treillis de congruences | ||
| 650 | |a Théorie des treillis | ||
| 776 | 0 | |0 132468646 |t The congruences of a finite lattice |o a proof-by-picture approach |f George Grätzer |c Boston |n Birkhäuser |d 2006 |p 1 vol. (XXII- 281 p.) |z 0-8176-3224-7 | |
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