Polyadic Groups
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Polyadic Groups
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Author : Wieslaw A. Dudek
language : en
Publisher: CRC Press
Release Date : 2024-03-22
Polyadic Groups written by Wieslaw A. Dudek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-22 with Mathematics categories.
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.
On Evaluation Of Numbers Of Some Polyadic Groups
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Author : Kazimierz Głazek
language : en
Publisher:
Release Date : 1985
On Evaluation Of Numbers Of Some Polyadic Groups written by Kazimierz Głazek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Note On Polyadic Groups On Sets With At Most 7 Elements
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Author : Kazimierz Głazek
language : en
Publisher:
Release Date : 1986
Note On Polyadic Groups On Sets With At Most 7 Elements written by Kazimierz Głazek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Bibliography Of N Groups Polyadic Groups And Some Group Like N Ary Systems
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Author : Kazimierz Glazek
language : en
Publisher:
Release Date : 1982
Bibliography Of N Groups Polyadic Groups And Some Group Like N Ary Systems written by Kazimierz Glazek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
Note On Polyadic Groups On Sets With At Most 7 Elements
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Author : K. Głazek
language : pl
Publisher:
Release Date : 1986
Note On Polyadic Groups On Sets With At Most 7 Elements written by K. Głazek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Polyadic Groups
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Author : Jacob M. Appleman
language : en
Publisher:
Release Date : 1987
Polyadic Groups written by Jacob M. Appleman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
On Evaluation Of Numbers Of Some Polyadic Groups
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Author : K. Głazek
language : pl
Publisher:
Release Date : 1985
On Evaluation Of Numbers Of Some Polyadic Groups written by K. Głazek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Groups Algebras And Identities
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Author : Eugene Plotkin
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-03-19
Groups Algebras And Identities written by Eugene Plotkin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with Algebra, Universal categories.
A co-publication of the AMS and Bar-Ilan University This volume contains the proceedings of the Research Workshop of the Israel Science Foundation on Groups, Algebras and Identities, held from March 20–24, 2016, at Bar-Ilan University and The Hebrew University of Jerusalem, Israel, in honor of Boris Plotkin's 90th birthday. The papers in this volume cover various topics of universal algebra, universal algebraic geometry, logic geometry, and algebraic logic, as well as applications of universal algebra to computer science, geometric ring theory, small cancellation theory, and Boolean algebras.
Polyadic Algebraic Structures
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Author : DUPLIJ
language : en
Publisher: IOP Publishing Limited
Release Date : 2022-06-07
Polyadic Algebraic Structures written by DUPLIJ and has been published by IOP Publishing Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-07 with Mathematics categories.
The book is devoted to the thorough study of polyadic (higher arity) algebraic structures, which has a long history, starting from 19th century. The main idea was to take a single set, closed under one binary operation, and to "generalize" it by increasing the arity of the operation, called a polyadic operation. Until now, a general approach to polyadic concrete many-set algebraic structures was absent. We propose to investigate algebraic structures in the "concrete way" and provide consequent "polyadization" of each operation, starting from group-like structures and finishing with the Hopf algebra structures. Polyadic analogs of homomorphisms which change arity, heteromorphisms, are introduced and applied for constructing unusual representations, multiactions, matrix representations and polyadic analogs of direct product. We provide the polyadic generalization of the Yang-Baxter equation, find its constant solutions, and introduce polyadic tensor categories. Suitable for university students of advanced level algebra courses and mathematical physics courses. Key Features: Provides a general, unified approach Widens readers perspective of the possibilities to develop standard algebraic structures Provides the new kind of homomorphisms changing the arity, heteromorphisms, are introduced and applied for construction of new representations, multiactions and matrix representations Presents applications of "polyadization" approach to concrete algebraic structures
Contributions To General Algebra
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Author :
language : en
Publisher:
Release Date : 1985
Contributions To General Algebra written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Algebra categories.