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Lau, Dietlinde

Function Algebras on Finite Sets

Lau, Dietlinde - Function Algebras on Finite Sets, ebook

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Ebook, PDF with Adobe DRM
ISBN: 9783540360230
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Table of contents

1. Introduction

2. Preliminaries

Part I. Universal Algebra

3. Basic Concepts of Universal Algebra

4. Lattices

5. Hull Systems and Closure Operators

6. Homomorphisms, Congruences, and Galois Connections

7. Direct and Subdirect Products

8. Varieties, Equational Classes, and Free Algebras

Part II. Function Algebras

9. Basic Concepts, Notations, and First Properties

10. The Galois-Connection Between Function- and Relation-Algebras

11. The Subclasses of P2

12. The Subclasses of Pk Which Contain Pk1

13. The Maximal Classes of Pk

14. Rosenberg’s Completeness Criterion for Pk

15. Further Completeness Criteria

16. Some Properties of the Lattice mathbb{L}_k

17. Congruences and Automorphisms on Function Algebras

18. The Relation Degree and the Dimension of Subclasses of Pk

19. On Generating Systems and Orders of the Subclasses of Pk

20. Subclasses of Pk,2

21. Classes of Linear Functions

22. Submaximal Classes of P3

23. Finite and Countably Infinite Sublattices of Depth 1 or 2 of mathbb{L}_3

24. The Maximal Classes of na?Q Polka for Q subseteq Ek

25. Maximal Classes of PolkEl for 2 = l < k

26. Further Submaximal Classes of Pk

27. Minimal Classes and Minimal Clones of Pk

28. Partial Function Algebras

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Keywords: MATHEMATICS / General MAT000000

Author(s)
Publisher
Springer
Publication year
2006
Language
en
Edition
1
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783540360230

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