Galois Connections and Applications

Häftad, Engelska, 2010

Av K. Denecke, M. Erné, S.L. Wismath, Klaus Denecke, S. L. Wismath

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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.

Produktinformation

Utgivningsdatum2010-12-07
Mått155 x 235 x 28 mm
Vikt779 g
FormatHäftad
SpråkEngelska
SerieMathematics and Its Applications
Antal sidor502
FörlagSpringer
ISBN9789048165407

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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.