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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.
Acerca del autor: 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.
Título: Polyadic Algebraic Structures
Editorial: Institute of Physics Publishing
Año de publicación: 2022
Encuadernación: Hardback
Condición: New
Librería: moluna, Greven, Alemania
Condición: 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 . Nº de ref. del artículo: 544054315
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Buch. Condición: 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. Nº de ref. del artículo: 9780750326469
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