Cover Image

Galois connections and applications /

Show other versions (1)

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. Applicat...

Full description

Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Denecke, Klaus, Erné, Marcel, Wismath, Shelly L.
Format: eBook
Language:English
Published: Dordrecht ; Boston : Kluwer Academic Publishers, [2004]
Series:Mathematics and its applications (Kluwer Academic Publishers) ; v. 565.
Subjects:
Galois theory.
Ordered sets.
Connections (Mathematics)
Galois, Théorie de.
Ensembles ordonnés.
Connections (Mathématiques)
Electronic books.
Online Access:Connect to the full text of this electronic book
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. Topology and Logic
  • Dyadic Mathematics - Abstractions from Logical Thought
  • Index.