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＜電子ブック＞
Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures : Foundations and Applications / edited by Mahouton Norbert Hounkonnou, Melanija Mitrović, Mujahid Abbas, Madad Khan
(STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health. ISSN:25201948)

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	XXXVII, 570 p. 84 illus., 36 illus. in color : online resource
著者標目	Hounkonnou, Mahouton Norbert editor Mitrović, Melanija editor Abbas, Mujahid editor Khan, Madad editor SpringerLink (Online service)
件　名	LCSH:Proof theory LCSH:Nonassociative rings LCSH:Algebra, Homological LCSH:Topological groups LCSH:Lie groups LCSH:Differential equations FREE:Proof Theory and Constructive Mathematics FREE:Non-associative Rings and Algebras FREE:Category Theory, Homological Algebra FREE:Topological Groups and Lie Groups FREE:Differential Equations
一般注記	Quandles, knots, quandle rings and graphs (Elhamdadi) -- New splittings of operations of Poisson algebras and transposed Poisson algebras and related algebraic structures (Bai) -- Some varieties of loops (Bol-Moufang and non-Bol-Moufang types) (Sòlárìn) -- The ����3-graded extension of the Poincaré algebra (Kerner) -- Ternary Leibniz color algebras and beyond (Bakayoko) -- (Hom-)(co)associative ternary (co)algebras and infinitesimal ternary (hom-)bialgebras (Hounkonnou) -- Elduque-Myung type mutations of Hom-algebras (Silvestrov) -- (Hom-) ���� -generalizedWitt algebras (Hounkonnou) -- Some algebraic properties of representations of polynomial covariance commutation relations (Silvestrov) -- Applications of Quasigroups in Cryptography and Coding Theory (Trpcheska) -- Generalized quadratic quasigroup functional equations (Krapež) -- A Primer on Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism (Guha) This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications—CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojša Stevanović (1962-2009). The papers cover new trends in the field, focusing on the growing development of applications in other disciplines. These aspects interplay in the same cadence, promoting interactions between theory and applications, and between nonassociative algebraic structures and various fields in pure and applied mathematics. In this volume, the reader will find novel studies on topics such as left almost algebras, logical algebras, groupoids and their generalizations, algebraic geometry and its relations with quiver algebras, enumerative combinatorics, representation theory, fuzzy logic and foundation theory, fuzzy algebraic structures, group amalgams, computer-aided development and transformation of the theory of nonassociative algebraic structures, and applications within natural sciences and engineering. Researchers and graduate students in algebraic structures and their applications can hugely benefit from this book, which can also interest any researcher exploring multi-disciplinarity and complexity in the scientific realm HTTP:URL=https://doi.org/10.1007/978-3-031-39334-1

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