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Algebra without borders - classical ...

Hounkonnou, M. Norbert.

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Algebra without borders - classical and constructive nonassociative algebraic structures = foundations and applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algebra without borders - classical and constructive nonassociative algebraic structures/ edited by Mahouton Norbert Hounkonnou ... [et al.].
其他題名:	foundations and applications /
其他作者:	Hounkonnou, M. Norbert.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xxxvii, 570 p. :illustrations (some col.), digital ;24 cm.
內容註:	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)
Contained By:	Springer Nature eBook
標題:	Nonassociative algebras. -
電子資源:	https://doi.org/10.1007/978-3-031-39334-1
ISBN:	9783031393341

Algebra without borders - classical and constructive nonassociative algebraic structures = foundations and applications /
Algebra without borders - classical and constructive nonassociative algebraic structuresfoundations and applications /[electronic resource] :edited by Mahouton Norbert Hounkonnou ... [et al.]. - Cham :Springer International Publishing :2023. - xxxvii, 570 p. :illustrations (some col.), digital ;24 cm. - STEAM-H : science, technology, engineering, agriculture, mathematics & health,2520-1948. - STEAM-H : science, technology, engineering, agriculture, mathematics & health..

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.

ISBN: 9783031393341

Standard No.: 10.1007/978-3-031-39334-1doiSubjects--Topical Terms:

663909
Nonassociative algebras.

LC Class. No.: QA252

Dewey Class. No.: 512.48

Algebra without borders - classical and constructive nonassociative algebraic structures = foundations and applications /
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505 0 $a 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)
520 $a 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.
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650 1 4 $a Proof Theory and Constructive Mathematics. $3 3592047
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650 2 4 $a Category Theory, Homological Algebra. $3 899944
650 2 4 $a Topological Groups and Lie Groups. $3 3593340
650 2 4 $a Differential Equations. $3 907890
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