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9781402018978

Galois Connections and Applications

by ; ; ; ;
  • ISBN13:

    9781402018978

  • ISBN10:

    1402018975

  • Format: Hardcover
  • Copyright: 2004-07-01
  • Publisher: Kluwer Academic Pub
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Summary

This book presents the main ideas of General Galois Theory as a generalization of Classical Galois Theory. It sketches the development of Galois connections through the last three centuries. Examples of Galois connections as powerful tools in Category Theory and Universal Algebra are given. Applications of Galois connections in Linguistic and Data Analysis are presented.

Table of Contents

Preface
Adjunctions and Galois Connections: Origins, History and Development
Categorical Galois Theory: Revision and Some Recent Developments
The Polarity between Approximation and Distribution
Galois Connections and Complete Sublattices
Galois Connections for Operations and Relations
Galois Connections and Polynomial Completeness
Q-Independence and Weak Automorphisms
A Survey of Clones Closed Under Conjugation
Galois Connections for Partial Algebras
Complexity of Terms and the Galois Connection Id-Mod
Iterated Galois Connections in Arithmetic and Linguistics
Deductive Systems and Galois Connections
A Galois Correspondence for Digital Topology
Galois Connections in Category Theory
Dyadic Mathematics - Abstractions from Logical Thought
Index"
Table of Contents provided by Publisher. All Rights Reserved.

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