Function Algebras on Finite Sets Basic Course on Many Valued Logic and Clone Theory 1st Edition by Dietlinde Lau ISBN 3642071554 978-3642071553 by Dietlinde Lau 9783540360223, 9783540360230, 3540360220, 3540360239 instant download after payment.

Function Algebras on Finite Sets: Basic Course on Many-Valued Logic and Clone Theory 1st Edition by Dietlinde Lau - Ebook PDF Instant Download/Delivery: 3642071554, 978-3642071553

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Product details:

ISBN 10: 3642071554

ISBN 13: 978-3642071553 

Author:  Dietlinde Lau 

Table of contents:

1. Front Matter
2. Introduction
3. Preliminaries

Universal Algebra
4. Basic Concepts of Universal Algebra
5. Lattices
6. Hull Systems and Closure Operators
7. Homomorphisms, Congruences, and Galois Connections
8. Direct and Subdirect Products
9. Varieties, Equational Classes, and Free Algebras

Function Algebras
10. Basic Concepts, Notations, and First Properties
11. The Galois-Connection Between Function- and Relation-Algebras
12. The Subclasses of P₂
13. The Subclasses of Pₖ Which Contain P₁ₖ
14. The Maximal Classes of Pₖ
15. Rosenberg’s Completeness Criterion for Pₖ
16. Further Completeness Criteria
17. Some Properties of the Lattice
18. Congruences and Automorphisms on Function Algebras
19. The Relation Degree and the Dimension of Subclasses of Pₖ
20. On Generating Systems and Orders of the Subclasses of Pₖ
21. Subclasses of Pₖ,₂
22. Classes of Linear Functions
23. Submaximal Classes of P₃
24. Finite and Countably Infinite Sublattices of Depth 1 or 2
25. The Maximal Classes of ⋂ₐ∈Q Polₖₐ for Q ⊆ Eₖ
26. Maximal Classes of PolₖEₗ for 2 ≤ l < k
27. Further Submaximal Classes of Pₖ
28. Minimal Classes and Minimal Clones of Pₖ
29. Partial Function Algebras

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