1# Library to Find Best eBook for Read
Author : Eugene Leo Allgower
Release : 1959
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Generalized Galois Connections by : Eugene Leo Allgower
Download or read book Generalized Galois Connections written by Eugene Leo Allgower. This book was released on 1959. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Klaus Denecke
Release : 2004-03-31
Genre : Computers
Kind : eBook
Book Rating : 978/5 ( reviews)
Book Synopsis Galois Connections and Applications by : Klaus Denecke
Download or read book Galois Connections and Applications written by Klaus Denecke. This book was released on 2004-03-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Miguel Couceiro
Release : 2004
Genre :
Kind : eBook
Book Rating : 647/5 ( reviews)
Book Synopsis Galois Connections for Generalized Functions and Relational Constraints by : Miguel Couceiro
Download or read book Galois Connections for Generalized Functions and Relational Constraints written by Miguel Couceiro. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Katalin Bimbó
Release : 2008
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Generalized Galois Logics by : Katalin Bimbó
Download or read book Generalized Galois Logics written by Katalin Bimbó. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: Nonclassical logics have played an increasing role in recent years in disciplines ranging from mathematics and computer science to linguistics and philosophy. Generalized Galois Logics develops a uniform framework of relational semantics to mediate between logical calculi and their semantics through algebra. This volume addresses normal modal logics such as K and S5, and substructural logics, including relevance logics, linear logic, and Lambek calculi. The authors also treat less-familiar and new logical systems with equal deftness.
Author : K. Denecke
Release : 2013-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 983/5 ( reviews)
Book Synopsis Galois Connections and Applications by : K. Denecke
Download or read book Galois Connections and Applications written by K. Denecke. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: Galois connections provide the order- or structure-preserving passage between two worlds of our imagination - and thus are inherent in hu man thinking wherever logical or mathematical reasoning about cer tain hierarchical structures is involved. Order-theoretically, a Galois connection is given simply by two opposite order-inverting (or order preserving) maps whose composition yields two closure operations (or one closure and one kernel operation in the order-preserving case). Thus, the "hierarchies" in the two opposite worlds are reversed or transported when passing to the other world, and going forth and back becomes a stationary process when iterated. The advantage of such an "adjoint situation" is that information about objects and relationships in one of the two worlds may be used to gain new information about the other world, and vice versa. In classical Galois theory, for instance, properties of permutation groups are used to study field extensions. Or, in algebraic geometry, a good knowledge of polynomial rings gives insight into the structure of curves, surfaces and other algebraic vari eties, and conversely. Moreover, restriction to the "Galois-closed" or "Galois-open" objects (the fixed points of the composite maps) leads to a precise "duality between two maximal subworlds".
