Galois Connections and Applications by Klaus DeneckeGalois Connections and Applications by Klaus Denecke

Galois Connections and Applications

EditorKlaus Denecke

Paperback | December 7, 2010

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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.

Details & Specs

Title:Galois Connections and ApplicationsFormat:PaperbackDimensions:516 pages, 9.25 × 6.1 × 0 inPublished:December 7, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048165407

ISBN - 13:9789048165407

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Table of Contents

PrefaceM. Erné; Adjunctions and Galois Connections: Origins, History and Development G. Janelidze; Categorical Galois Theory: Revision and Some Recent Developments M. Erné; The Polarity between Approximation and DistributionK. Denecke, S.L. Wismath; Galois Connections and Complete SublatticesR. Pöschel; Galois Connections for Operations and Relations K. Kaarli; Galois Connections and Polynomial Completeness K. Glazek, St. Niwczyk; Q-Independence and Weak AutomorphismsA. Szendrei; A Survey of Clones Closed Under ConjugationP. Burmeister; Galois Connections for Partial AlgebrasK. Denecke, S.L. Wismath; Complexity of Terms and the Galois Connection Id-Mod J. Lambek; Iterated Galois Connections in Arithmetic and Linguistics I. Chajda, R. Halas; Deductive Systems and Galois ConnectionsJ. Slapal; A Galois Correspondence for Digital TopologyW. Gähler; Galois Connections in Category Theory, Topology and LogicR. Wille; Dyadic Mathematics - Abstractions from Logical ThoughtIndex

Editorial Reviews

From the reviews:"The book under review is the first one fully dedicated to Galois connections and adjunctions. . I recommend this valuable collection to everybody involved in algebraic research and/or teaching algebra in higher education." (Béla Csákány, Acta Scientiarum Mathematicarum, Vol. 71, 2005)