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Synopsis
Various algebraic structures are investigated from the viewpoint that the initial arities of all operations are arbitrary ("polyadization" and partial arity freedom principle), and the relations between operations, arising from the structure definitions, lead to restrictions of their arity shapes ("quantization"). This unified procedure is applied to one-set and two-set algebraic structures, as well as to Hopf algebras and tensor categories, which gives new unusual properties and enriched objects absent in the ordinary binary structures.
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About the Author
Steven Duplij (Stepan Douplii) is a theoretical and mathematical physicist from the University of Münster, Germany. Dr Duplij is the editor-compiler of "Concise Encyclopaedia of Supersymmetry" (2005, Springer), and is the author of more than a hundred scientific publications and several books. His scientific directions include supersymmetry and quantum groups, advanced algebraic structures, gravity and nonlinear electrodynamics, constrained systems and quantum computing.
"About this title" may belong to another edition of this title.
- PublisherInstitute of Physics Publishing
- Publication date2022
- ISBN 10 0750326468
- ISBN 13 9780750326469
- BindingHardcover
- LanguageEnglish
- Number of pages464
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Condition: New. Über den AutorSteven Duplij (Stepan Douplii) is a theoretical and mathematical physicist from the University of Muenster, Germany. Dr Duplij is the editor-compiler of Concise Encyclopaedia of Supersymmetry (2005, Springer), and is . Seller Inventory # 544054315
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Polyadic Algebraic Structures
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ISBN 10: 0750326468
ISBN 13: 9780750326469
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Buch. Condition: Neu. Neuware - Various algebraic structures are investigated from the viewpoint that the initial arities of all operations are arbitrary ('polyadization' and partial arity freedom principle), and the relations between operations, arising from the structure definitions, lead to restrictions of their arity shapes ('quantization'). This unified procedure is applied to one-set and two-set algebraic structures, as well as to Hopf algebras and tensor categories, which gives new unusual properties and enriched objects absent in the ordinary binary structures. Seller Inventory # 9780750326469
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