Results 1 to 10 of about 47,300 (274)
On the Deformation Theory of Structure Constants for Associative Algebras [PDF]
Advances in Mathematical Physics, 2010 An algebraic scheme for constructing deformations of structure constants for associative algebras generated by deformation driving algebras (DDAs) is discussed. An ideal of left divisors of zero plays a central role in this construction.
B. G. Konopelchenko
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Quasi-Associative Algebras on the Frobenius Lie Algebra M_3 (R)⊕gl_3 (R)
Al-Jabar, 2021 In this paper, we study the quasi-associative algebra property for the real Frobenius Lie algebra of dimension 18. The work aims to prove that is a quasi-associative algebra and to compute its formulas explicitly.
Henti Henti, Edi Kurniadi, Ema Carnia
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On the automorphism groups of some Leibniz algebras [PDF]
International Journal of Group Theory, 2023 We study the automorphism groups of finite-dimensional cyclic Leibniz algebras. In this connection, we consider the relationships between groups, modules over associative rings and Leibniz algebras.
Leonid Kurdachenko +2 more
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Solutions of Yang–Baxter Equation of Mock-Lie Algebras and Related Rota Baxter Algebras
Computer Sciences & Mathematics Forum, 2023 This paper discusses the relationship between Mock-Lie algebras, Lie algebras, and Jordan algebras. It highlights the importance of the Yang–Baxter equation and symplectic forms in the study of integrable systems, quantum groups, and topological quantum ...
Amir Baklouti
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Rota-Baxter Systems for BiHom-Type Algebras
Mathematics, 2022 The purpose of this paper is to study Rota–Baxter systems for BiHom-type algebras such as BiHom analogues of associative, dendriform, quadri algebras. It is shown that BiHom-dendriform structures of a particular kind are equivalent to Rota–Baxter systems.
Qiaoling Guo +4 more
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On the Isotopy of some Varieties of Fenyves Quasi Neutrosophic Triplet Loop (Fenyves BCI-algebras) [PDF]
Neutrosophic Sets and Systems, 2020 Neutrosophy theory has found application in health sciences in recent years. There is the need to develop neutrosophic algebraic systems which are good and appropriate for studying and understanding the effects of diseases and their possible treatments.
Temitope Gbolahan Jaiyéolá +3 more
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On the non-Koszulity of ternary partially associative operad; pp. 355–363 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 We prove that the operad for ternary partially associative algebras is non Koszul. The aim is to underline the problem of computing the dual operad when we consider quadratic operad for n-ary algebras in particular when n is odd. In fact, the dual operad
Elisabeth Remm
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Nonassociative Algebras, Rings and Modules over Them
Mathematics, 2023 The review is devoted to nonassociative algebras, rings and modules over them. The main actual and recent trends in this area are described. Works are reviewed on radicals in nonassociative rings, nonassociative algebras related with skew polynomials ...
Sergey Victor Ludkowski
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Higher-Order Associativity in Field Algebras
Mathematics, 2022 Field algebras were defined by Bakalov and Kac as an associative analogue of vertex algebras. We define the notion of higher-order associativity for field algebras and construct examples to show that higher-order associativity imposes a strictly stronger
Namhoon Kim
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Non-associative Algebras [PDF]
, 2021 These lecture notes were prepared for the Summer School in Algebra and Topology held at the Institut de Recherche en Math\'ematique et Physique of the Universit\'e catholique de Louvain, 12th-15th September 2018.
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