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Titlebook: Non-commutative and Non-associative Algebra and Analysis Structures; SPAS 2019, Västerås, Sergei Silvestrov,Anatoliy Malyarenko Conference

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书目名称Non-commutative and Non-associative Algebra and Analysis Structures
副标题SPAS 2019, Västerås,
编辑Sergei Silvestrov,Anatoliy Malyarenko
视频videohttp://file.papertrans.cn/668/667081/667081.mp4
概述Includes papers from academics and practitioners.Concepts in the book are illustrated by a multitude of examples.Stimulate the reader by including many open problems
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Non-commutative and Non-associative Algebra and Analysis Structures; SPAS 2019, Västerås, Sergei Silvestrov,Anatoliy Malyarenko Conference
描述.The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications. The conference has been organized along the following tracks: .1. Stochastic processes and modern statistical methods in theory and practice, .2. Engineering Mathematics, .3. Algebraic Structures and applications. .This book highlights the latest advances in algebraic structures and applications focused on mathematical notions, methods, structures, concepts, problems, algorithms, and computational methods for the natural sciences, engineering, and modern technology. In particular, the book features mathematical methods and models from non-commutative and non-associative algebras and rings associated to generalizations of differential calculus, quantumdeformations of algebras, Lie algebras, Lie superalgebras, color Lie algebras, Hom-algebras and their n-ary generalizations, semi-groups and group algebras, non-commutative and non-associative algebras and computational algebra interplay with q-speci
出版日期Conference proceedings 2023
关键词Associate Algebras; Non-associative Algebras; Spectral Analysis; Operator Theory; Deformation Theory; Com
版次1
doihttps://doi.org/10.1007/978-3-031-32009-5
isbn_softcover978-3-031-32011-8
isbn_ebook978-3-031-32009-5Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Classification, Centroids and Derivations of Two-Dimensional Hom-Leibniz Algebras, are obtained. Classification of 2-dimensional Hom-Leibniz algebras is provided. Centroids and derivations of multiplicative Hom-Leibniz algebras are considered including the detailed study of 2-dimensional Hom-Leibniz algebras.
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Nearly Associative and Nearly Hom-Associative Algebras and Bialgebras,wo-dimensional nearly associative algebras are classified, and main classes are derived. The bimodules, matched pairs and Manin triple of a nearly associative algebras are derived and their equivalence with nearly associative bialgebras is proved. Basic definitions and properties of nearly Hom-assoc
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Divisibility in Hom-Algebras, Single-Element Properties in Non-associative Algebras and Twisted Dern study of Hom-algebras and .-derivations satisfying a .-twisted Leibniz product rule in connection to Hom-algebra structures. As divisibility may be not transitive in general not necessarily associative algebras, we explore factorization properties of elements in Hom-associative algebras, specially
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,On Lie-Type Constructions over Twisted Derivations, show that the sums of linear spaces of .-derivations and also of some of their subspaces, consisting of twisted derivations with some commutation relations with . and ., form Lie algebras, and moreover with the semigroup or group graded commutator product, yielding graded Lie algebras when the sum
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