LEADER 05322nam 22007935 450 001 9910768194603321 005 20250602120733.0 010 $a9783031393341$b(ebook) 010 $a3031393341 024 7 $a10.1007/978-3-031-39334-1 035 $a(MiAaPQ)EBC30980202 035 $a(Au-PeEL)EBL30980202 035 $a(DE-He213)978-3-031-39334-1 035 $a(CKB)29128030500041 035 $a(OCoLC)1412620334 035 $a(EXLCZ)9929128030500041 100 $a20231201d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAlgebra without Borders ? Classical and Constructive Nonassociative Algebraic Structures $eFoundations and Applications /$fedited by Mahouton Norbert Hounkonnou, Melanija Mitrovi?, Mujahid Abbas, Madad Khan 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (600 pages) 225 1 $aSTEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health,$x2520-1948 311 08$aPrint version: Hounkonnou, Mahouton Norbert Algebra Without Borders - Classical and Constructive Nonassociative Algebraic Structures Cham : Springer International Publishing AG,c2024 9783031393334 320 $aIncludes bibliographical references and index. 327 $aQuandles, 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 (Krape?) -- A Primer on Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism (Guha). 330 $aThis book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications?CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Neboj?a Stevanovi? (1962-2009). The papers cover new trends in the field, focusing on the growing development of applications in other disciplines. These aspects interplay in the same cadence, promoting interactions between theory and applications, and between nonassociative algebraic structures and various fields in pure and applied mathematics. In this volume, the reader will find novel studies on topics such as left almost algebras, logical algebras, groupoids and their generalizations, algebraic geometry and its relations with quiver algebras, enumerative combinatorics, representation theory, fuzzy logic and foundation theory, fuzzy algebraic structures, group amalgams, computer-aided development and transformation of the theory of nonassociative algebraic structures, and applications within natural sciences and engineering. Researchers and graduate students in algebraic structures and their applications can hugely benefit from this book, which can also interest any researcher exploring multi-disciplinarity and complexity in the scientific realm. 410 0$aSTEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health,$x2520-1948 606 $aProof theory 606 $aNonassociative rings 606 $aAlgebra, Homological 606 $aTopological groups 606 $aLie groups 606 $aDifferential equations 606 $aProof Theory and Constructive Mathematics 606 $aNon-associative Rings and Algebras 606 $aCategory Theory, Homological Algebra 606 $aTopological Groups and Lie Groups 606 $aDifferential Equations 606 $aÀlgebres no associatives$2thub 608 $aLlibres electrònics$2thub 615 0$aProof theory. 615 0$aNonassociative rings. 615 0$aAlgebra, Homological. 615 0$aTopological groups. 615 0$aLie groups. 615 0$aDifferential equations. 615 14$aProof Theory and Constructive Mathematics. 615 24$aNon-associative Rings and Algebras. 615 24$aCategory Theory, Homological Algebra. 615 24$aTopological Groups and Lie Groups. 615 24$aDifferential Equations. 615 7$aÀlgebres no associatives 676 $a512.48 702 $aHounkonnou$b Mahouton Norbert$f1956- 702 $aMitrovic?$b Melanija 702 $aAbbas$b Mujahid 702 $aKhan$b Madad 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910768194603321 996 $aAlgebra without Borders ? Classical and Constructive Nonassociative Algebraic Structures$94168274 997 $aUNINA