Note on Polyadic Groups on Sets with at Most 7 Elements PDF Download
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Author: Kazimierz Głazek
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
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Author: Kazimierz Głazek
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
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Author: K. Głazek
Publisher:
ISBN:
Category :
Languages : pl
Pages : 14
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Author: Wieslaw A. Dudek
Publisher: CRC Press
ISBN: 1040001041
Category : Mathematics
Languages : en
Pages : 424
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Book Description
This book provides a general, unified approach to the theory of polyadic groups, their normal subgroups and matrix representations. The author focuses on those properties of polyadic groups which are not present in the binary case. These properties indicate a strong relationship between polyadic groups and various group-like algebras, as well as ternary Hopf algebras and n-Lie algebras that are widely used in theoretical physics. The relationships of polyadic groups with special types of binary groups, called covering groups and binary retracts, are described. These relationships allow the study of polyadic groups using these binary groups and their automorphisms. The book also describes the affine geometry induced by polyadic groups and fuzzy subsets defined on polyadic groups. Finally, we discuss the categories of polyadic groups and the relationships between the different varieties of polyadic groups. In many cases, we give elegant new proofs of known theorems. We also give many interesting examples and applications. The book contains many little-known results from articles previously published in hard-to-reach Russian, Ukrainian and Macedonian journals. These articles are not in English.
Author:
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ISBN:
Category : Algebra
Languages : en
Pages : 440
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Author:
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ISBN:
Category : Algebra
Languages : en
Pages : 568
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Author: Wilfried Nöbauer
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 278
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Book Description
At the beginning of 1988, the Austrian mathematical community was preparing to celebrate the sixtieth birthday of one of its outstanding members, Wilfried Nobauer, professor at Vienna Technical University. An international conference on general algebra was planned to celebrate this jubilee. However, Professor Nobauer's untimely death, just six months before the conference, turned the conference into a memorial event. Eighty-three algebraists from twenty-one countries met in Krems to present and discuss their work. This volume reflects the research being carried out in various branches of algebra throughout the world.
Author: Katarzyna Hałkowska
Publisher: World Scientific Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 412
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Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486801454
Category : Mathematics
Languages : en
Pages : 276
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Originally published: New York: Chelsea Publishing Company, 1962.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 772
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 632
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