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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...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2006.
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| Edition: | 1st ed. 2006. |
| Subjects: | |
| Online Access: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-8176-4462-8 | ||
| 003 | DE-He213 | ||
| 005 | 20220126135127.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 xxu| s |||| 0|eng d | ||
| 020 | |a 9780817644628 |9 978-0-8176-4462-8 | ||
| 024 | 7 | |a 10.1007/0-8176-4462-8 |2 doi | |
| 050 | 4 | |a QA150-272 | |
| 072 | 7 | |a PBF |2 bicssc | |
| 072 | 7 | |a MAT002010 |2 bisacsh | |
| 072 | 7 | |a PBF |2 thema | |
| 082 | 0 | 4 | |a 511.33 |2 23 |
| 100 | 1 | |a Grätzer, George. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Congruences of a Finite Lattice |h [electronic resource] : |b A Proof-by-Picture Approach / |c by George Grätzer. |
| 250 | |a 1st ed. 2006. | ||
| 264 | 1 | |a Boston, MA : |b Birkhäuser Boston : |b Imprint: Birkhäuser, |c 2006. | |
| 300 | |a XXVI, 282 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |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. | |
| 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 | 0 | |a Algebra. | |
| 650 | 0 | |a Mathematical logic. | |
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Number theory. | |
| 650 | 1 | 4 | |a Order, Lattices, Ordered Algebraic Structures. |
| 650 | 2 | 4 | |a Mathematical Logic and Foundations. |
| 650 | 2 | 4 | |a Algebra. |
| 650 | 2 | 4 | |a Probability Theory. |
| 650 | 2 | 4 | |a Number Theory. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780817670344 |
| 776 | 0 | 8 | |i Printed edition: |z 9780817632243 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/0-8176-4462-8 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||