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Function Algebras on Finite Sets

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Cover of 'Function Algebras on Finite Sets'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction
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    Chapter 2 Preliminaries
  4. Altmetric Badge
    Chapter 3 Basic Concepts of Universal Algebra
  5. Altmetric Badge
    Chapter 4 Lattices
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    Chapter 5 Hull Systems and Closure Operators
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    Chapter 6 Homomorphisms, Congruences, and Galois Connections
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    Chapter 7 Direct and Subdirect Products
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    Chapter 8 Varieties, Equational Classes, and Free Algebras
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    Chapter 9 Basic Concepts, Notations, and First Properties
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    Chapter 10 The Galois-Connection Between Function- and Relation-Algebras
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    Chapter 11 The Subclasses of P 2
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    Chapter 12 The Subclasses of P k Which Contain P k 1
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    Chapter 13 The Maximal Classes of P k
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    Chapter 14 Rosenberg’s Completeness Criterion for P k
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    Chapter 15 Further Completeness Criteria
  17. Altmetric Badge
    Chapter 16 Some Properties of the Lattice $$ \mathbb{L}_k $$
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    Chapter 17 Congruences and Automorphisms on Function Algebras
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    Chapter 18 The Relation Degree and the Dimension of Subclasses of P k
  20. Altmetric Badge
    Chapter 19 On Generating Systems and Orders of the Subclasses of P k
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    Chapter 20 Subclasses of P k ,2
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    Chapter 21 Classes of Linear Functions
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    Chapter 22 Submaximal Classes of P 3
  24. Altmetric Badge
    Chapter 23 Finite and Countably Infinite Sublattices of Depth 1 or 2 of $$ \mathbb{L}_3 $$
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    Chapter 24 The Maximal Classes of ∩ a ∈ Q Pol k a for Q $$ \subseteq $$ E k
  26. Altmetric Badge
    Chapter 25 Maximal Classes of Pol k E l for 2 ≤ l < k
  27. Altmetric Badge
    Chapter 26 Further Submaximal Classes of P k
  28. Altmetric Badge
    Chapter 27 Minimal Classes and Minimal Clones of P k
  29. Altmetric Badge
    Chapter 28 Partial Function Algebras
Attention for Chapter 4: Lattices
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