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Function Algebras on Finite Sets Basic Course on Many-Valued Logic and Clone Theory /
Functions which are defined on finite sets occur in almost all fields of mathematics. For more than 80 years algebras whose universes are such functions (so-called function algebras), have been intensively studied. This book gives a broad introduction to the theory of function algebras and leads to...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2006.
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| Edición: | 1st ed. 2006. |
| Colección: | Springer Monographs in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Preliminaries
- Preliminaries
- Universal Algebra
- Basic Concepts of Universal Algebra
- Lattices
- Hull Systems and Closure Operators
- Homomorphisms, Congruences, and Galois Connections
- Direct and Subdirect Products
- Varieties, Equational Classes, and Free Algebras
- Function Algebras
- Basic Concepts, Notations, and First Properties
- The Galois-Connection Between Function- and Relation-Algebras
- The Subclasses of P2
- The Subclasses of Pk Which Contain Pk1
- The Maximal Classes of Pk
- Rosenberg's Completeness Criterion for Pk
- Further Completeness Criteria
- Some Properties of the Lattice
- Congruences and Automorphisms on Function Algebras
- The Relation Degree and the Dimension of Subclasses of Pk
- On Generating Systems and Orders of the Subclasses of Pk
- Subclasses of Pk,2
- Classes of Linear Functions
- Submaximal Classes of P3
- Finite and Countably Infinite Sublattices of Depth 1 or 2 of
- The Maximal Classes of ?a?Q Polka for Q Ek
- Maximal Classes of PolkEl for 2 ? l < k
- Further Submaximal Classes of Pk
- Minimal Classes and Minimal Clones of Pk
- Partial Function Algebras.