Results 41 to 50 of about 455,961 (135)

Rota-Baxter TD Algebra and Quinquedendriform Algebra

, 2017
A dendriform algebra defined by Loday has two binary operations that give a two-part splitting of the associativity in the sense that their sum is associative.
Li Guo, Shuyun Zhou
core   +1 more source

Cohomology and Crossed Modules of Modified Rota–Baxter Pre-Lie Algebras

Mathematics
The goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule.
Fuyang Zhu, Wen Teng
doaj   +1 more source

Leibniz bialgebras, relative Rota-Baxter operators and the classical Leibniz Yang-Baxter equation [PDF]

, 2020
In this paper, first we introduce the notion of a Leibniz bialgebra and show that matched pairs of Leibniz algebras, Manin triples of Leibniz algebras and Leibniz bialgebras are equivalent.
Sheng, Yunhe, Tang, Rong
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Abstract Book: 25th Congress of the European Hematology Association Virtual Edition, 2020

, 2020
HemaSphere, Volume 4, Issue S1, Page 1-1168, June 2020.
wiley   +1 more source

Rota–Baxter Operators on Pre-Lie Superalgebras

, 2017
International audienceIn this paper, we study Rota–Baxter operators and super O-operator of associative superalgebras, Lie superalgebras, pre-Lie superalgebras and L-dendriform superalgebras.
Abdenacer Makhlouf, Makhlouf, Abdenacer, El-Kadri Abdaoui, Abdaoui, El-Kadri, Sami Mabrouk, Mabrouk, Sami   +5 more
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Relative Rota-Baxter groups and skew left braces [PDF]

, 2023
Relative Rota-Baxter groups are generalisations of Rota-Baxter groups and introduced recently in the context of Lie groups. In this paper, we explore connections of relative Rota-Baxter groups with skew left braces, which are well-known to give non ...
Rathee, Nishant, Singh, Mahender
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Rota–Baxter (Co)algebra Equation Systems and Rota–Baxter Hopf Algebras

, 2022
We introduce and discuss the notions of Rota–Baxter bialgebra equation systems and Rota–Baxter Hopf algebras.
Shuanhong Wang, Tianshui Ma, Yue Gu
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Rota-Baxter operators on involutive associative algebras

, 2021
In this paper, we consider Rota–Baxter operators on involutive associative algebras. We define cohomology for Rota–Baxter operators on involutive algebras that governs the formal deformation of the operator.
Das Apurba
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ROTA-BAXTER OPERATORS ON 3-DIMENSIONAL NILPOTENT ASSOCIATIVE ALGEBRAS [PDF]

, 2020
Associative algebras are introduced into mathematics of the 19th century and are still intensively studied. The classification of associative algebras of small dimensions first appeared in the works of Pierce in 1881.
Karimjanova, Hushruyahon M., Aliyeva, Jamila R., Holmirzayeva, Ziyodahon B.   +2 more
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Cohomology and deformations of Relative Rota-Baxter operators on Lie-Yamaguti algebras [PDF]

, 2022
In this paper, we establish the cohomology of relative Rota-Baxter operators on Lie-Yamaguti algebras via the Yamaguti cohomology. Then we use this type of cohomology to characterize deformations of relative Rota-Baxter operators on Lie-Yamaguti algebras.
Qiao, Yu, Zhao, Jia
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