Results 91 to 100 of about 74,106 (122)

Rota-Baxter operators on cocommutative Hopf algebras and Hopf braces

Journal of Geometry and Physics, 2023
This paper studies the relationship of Rota-Baxter operators on cocommutative Hopf algebras with Hopf braces and the Yang-Baxter equation, with emphasis on the embedding of cocommutative Hopf braces into Rota-Baxter Hopf algebras. Through Hopf braces, we
Hui-Hui Zheng, Liang-Yun Zhang, Tian-Shui Ma, Li Guo   +3 more
semanticscholar   +1 more source

Bimodules over Relative Rota-Baxter Algebras and Cohomologies

Algebras and Representation Theory, 2022
A relative Rota-Baxter algebra is a generalization of a Rota-Baxter algebra. Relative Rota-Baxter algebras are closely related to dendriform algebras.
Satyendra Kumar Mishra, Apurba Das
exaly   +2 more sources

Rota-Baxter Lie bialgebras, classical Yang-Baxter equations and special L-dendriform bialgebras

Algebras and Representation Theory, 2022
This paper extends the well-known fact that a Rota-Baxter operator of weight 0 on a Lie algebra induces a pre-Lie algebra, to the level of bialgebras.
Cheng-Ming Bai, Li Guo, Gui-Lai Liu, Tian-Shui Ma   +3 more
semanticscholar   +1 more source

Cohomology of modified Rota-Baxter Leibniz algebra of weight λ

Journal of Algebra and its Applications, 2022
Rota-Baxter operators have been paid much attention in the last few decades as they have many applications in mathematics and physics. In this paper, our object of study is modified Rota-Baxter operators on Leibniz algebras.
B. Mondal, R. Saha
semanticscholar   +1 more source

Rota-Baxter co-operators on commutative Hopf algebras

Communications in Algebra
In this paper, we mainly research Rota-Baxter co-operators on commutative Hopf algebras. We get a new Hopf algebra and some Hopf co-braces via Rota-Baxter co-operators on commutative Hopf algebras.
Huihui Zheng, Linlin Liu
exaly   +2 more sources

Twisted relative Rota-Baxter operators on Leibniz conformal algebras

Communications in Algebra
In this paper, we first investigate some properties of relative Rota-Baxter operators on Leibniz conformal algebras with respect to representations and their connections with Leibniz dendriform conformal algebras.
Shengxiang Wang
exaly   +2 more sources

BiHom-NS-Algebras, Twisted Rota–Baxter Operators and Generalized Nijenhuis Operators

Results in Mathematics, 2022
The purpose of this paper is to introduce and study BiHom-NS-algebras, which are a generalization of NS-algebras using two homomorphisms. Moreover, we discuss their relationships with twisted Rota–Baxter operators in a BiHom-associative context ...
Ling Liu, A. Makhlouf, C. Menini, F. Panaite   +3 more
semanticscholar   +1 more source

The minimal model of Rota-Baxter operad with arbitrary weight

Selecta Mathematica, 2022
This paper investigates Rota–Baxter algebras of of arbitrary weight, that is, associative algebras endowed with Rota-Baxter operators of arbitrary weight, from an operadic viewpoint.
Kai Wang, Guo-Dong Zhou
semanticscholar   +1 more source

Rotational atherectomy combined with cutting balloon to optimise stent expansion in calcified lesions: the ROTA-CUT randomised trial.

EuroIntervention
BACKGROUND Percutaneous coronary intervention (PCI) of calcified lesions remains challenging for interventionalists. AIMS We aimed to investigate whether combining rotational atherectomy (RA) with cutting balloon angioplasty (RA+CBA) results in more ...
Samin K. Sharma, R. Mehran, B. Vogel, Amit Hooda, S. Sartori, Regina Hanstein, Yi-Han Feng, R. Shlofmitz, Allen Jeremias, A. Spirito, D. Cao, Evan Shlofmitz, Ziad A. Ali, K. Yasumura, S. Minatoguchi, Y. Vengrenyuk, A. Kini, Jeffrey W. Moses   +17 more
semanticscholar   +1 more source

Rota-Baxter systems and skew trusses

Journal of Algebra, 2022
As a generalization of skew braces, the notion of skew trusses was introduced by T. Brzezinski. It was shown that every Rota-Baxter group has the structure of skew braces by V. G. Bardakov and V. Gubarev.
Zhonghua Li, Shukun Wang
semanticscholar   +1 more source