Results 131 to 140 of about 2,636,434 (156)

Rota—Baxter groups, skew left braces, and the Yang—Baxter equation [PDF]

Journal of Algebra, 2022
Braces were introduced by W. Rump in 2006 as an algebraic system related to the quantum Yang-Baxter equation. In 2017, L. Guarnieri and L. Vendramin defined for the same purposes a more general notion of a skew left brace. Recently, L. Guo, H.
Vsevolod Gubarev, Valeriy G Bardakov
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Twisted relative Rota-Baxter operators on Leibniz conformal algebras

Communications in Algebra
Shengxiang Wang
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RELATIVE ROTA–BAXTER OPERATORS AND TRIDENDRIFORM ALGEBRAS

Journal of Algebra and Its Applications, 2013
A relative Rota–Baxter operator is a relative generalization of a Rota–Baxter operator on an associative algebra. In the Lie algebra context, it is called an [Formula: see text]-operator, originated from the operator form of the classical Yang–Baxter equation. We generalize the well-known construction of dendriform and tridendriform algebras from Rota–
Bai, Chengming, Guo, Li, Ni, Xiang
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Lie 3-algebras and deformations of relative Rota-Baxter operators on 3-Lie algebras

Journal of Algebra, 2021
Given a representation of a 3-Lie algebra, the authors construct a Lie 3-algebra, whose Maurer-Cartan elements are relative Rota-Baxter operators on the 3-Lie algebra. The authors define the cohomology of relative Rota-Baxter operators on 3-Lie algebras, by which they study deformations of relative Rota-Baxter operators.
Rong Tang, Shuai Hou, Yunhe Sheng
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Relative Rota--Baxter operators of arbitrary weight on Leibniz algebras and post-Leibniz algebra structures

Publicationes Mathematicae Debrecen, 2023
The author defines cohomology of relative Rota-Baxter operators of arbitrary weight on Leibniz algebras and studies their deformations. This is done by generalizing the operators of weight 0 developed by \textit{R. Tang} et al. [Int. J. Geom. Methods Mod. Phys. 17, No. 12, Article ID 2050174, 21 p. (2020; Zbl 1550.17003)].
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The Rota‐Baxter Algebra Structures on Split Semiquaternion Algebra [PDF]

Mathematical Methods in the Applied Sciences
In this paper, we shall describe all the Rota-Baxter operators with any weight on split semi-quaternion algebra. Firstly, we give the matrix characterization of the Rota-Baxter operator on split semi-quaternion algebra.
Quanguo Chen
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Relative Rota-Baxter operators on Hom-Lie triple systems

Communications in Algebra, 2023
Yizheng Li, Dingguo Wang
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Relative Rota-Baxter operators on Hom-Lie-Yamaguti algebras

2022
Teng, Wen, Jiulin Jin
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Rota–Baxter operators on groups

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2023
Vsevolod Gubarev, Valeriy G Bardakov, Bardakov Valeriy G   +2 more
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Pre-perm bialgebras and relative Rota-Baxter operators

Communications in Algebra
Bei Li, Dingguo Wang
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