Generalized Galois Connections - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Generalized Galois Connections write by Eugene Leo Allgower. This book was released on 1959. Generalized Galois Connections available in PDF, EPUB and Kindle.
Galois Connections and Applications
Galois Connections and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galois Connections and Applications write by Klaus Denecke. This book was released on 2004-03-31. Galois Connections and Applications available in PDF, EPUB and Kindle. 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.
Galois Connections for Generalized Functions and Relational Constraints
Galois Connections for Generalized Functions and Relational Constraints - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galois Connections for Generalized Functions and Relational Constraints write by Miguel Couceiro. This book was released on 2004. Galois Connections for Generalized Functions and Relational Constraints available in PDF, EPUB and Kindle.
Generalized Galois Logics
Generalized Galois Logics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Generalized Galois Logics write by Katalin Bimbó. This book was released on 2008. Generalized Galois Logics available in PDF, EPUB and Kindle. 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.
Galois Connections and Applications
Galois Connections and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galois Connections and Applications write by K. Denecke. This book was released on 2013-11-11. Galois Connections and Applications available in PDF, EPUB and Kindle. 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".
