Contributions to General Algebra 9 PDF Download
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Author: Günter Pilz
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 340
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Book Description
Author: Günter Pilz
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 340
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Book Description
Author: Ivan Chajda
Publisher:
ISBN: 9783708401164
Category : Algebra
Languages : en
Pages : 242
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Book Description
Author: Ivan Chajda
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 384
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Author: Hermann Kautschitsch
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Ivan Chajda
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 258
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Book Description
Author: Klaus Denecke
Publisher: CRC Press
ISBN: 9789056992354
Category : Mathematics
Languages : en
Pages : 334
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Book Description
Theories and results on hyperidentities have been published in various areas of the literature over the last 18 years. Hyperidentities and Clones integrates these into a coherent framework for the first time. The author also includes some applications of hyperidentities to the functional completeness problem in multiple-valued logic and extends the general theory to partial algebras. The last chapter contains exercises and open problems with suggestions for future work in this area of research. Graduate students and mathematical researchers will find Hyperidentities and Clones a thought-provoking and illuminating text that offers a unique opportunity to study the topic in one source.
Author: Johannes Czermak
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 424
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Author: Dietmar Dorninger
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 452
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Author: K. Denecke
Publisher: Springer Science & Business Media
ISBN: 1402018983
Category : Mathematics
Languages : en
Pages : 511
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Book Description
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".
