Results 61 to 70 of about 184 (133)

Rota-Baxter operators on pre-Lie algebras

Journal of Nonlinear Mathematical Physics, 2007
Rota-Baxter operators (also called Baxter operators) on associative algebras have been studied extensively in recent years with broad applications in mathematics and physics. This paper starts the study of Rota-Baxter operators on pre-Lie algebras, namely vector spaces \(V\) with a binary operation \(.\) such that \((x.y).z-x.(y.z)=(y.x).z-y.(x.z ...
Li, Xiuxian, Hou, Dongping, Bai, Chengming   +2 more
openaire   +1 more source

2.5-mm articulated endoluminal forceps using a compliant mechanism. [PDF]

Int J Comput Assist Radiol Surg, 2023
Osawa K, Bandara DSV, Nakadate R, Nagao Y, Akahoshi T, Eto M, Arata J.   +6 more
europepmc   +1 more source

Rota-Baxter operators on involutive associative algebras

, 2020
12 pages; comments are ...
openaire   +2 more sources

Review: Development of SARS-CoV-2 immuno-enhanced COVID-19 vaccines with nano-platform. [PDF]

Nano Res, 2022
Sa-Nguanmoo N, Namdee K, Khongkow M, Ruktanonchai U, Zhao Y, Liang XJ.   +5 more
europepmc   +1 more source

Rota-Baxter operators on $ω$-Lie algebras

This article explores Rota-Baxter operators on finite-dimensional $ω$-Lie algebras over a field of characteristic not 2. We provide several methods for constructing left-symmetric algebras, $ω$-Lie algebras, and Hom-Lie algebras via compatible Rota-Baxter operators on a given $ω$-Lie algebra.
Chen, Yin, Ren, Shan, Shan, Jiawen, Zhang, Runxuan   +3 more
openaire   +2 more sources

Relative Rota-Baxter operators, modules and projections

Czechoslovak Mathematical Journal
arXiv admin note: text overlap with arXiv:2404 ...
Fernández Vilaboa, José Manuel, González Rodríguez, Ramón, Ramos Pérez, Brais   +2 more
openaire   +3 more sources

Classification of Rota-Baxter operators on semigroup algebras of order two and three. [PDF]

Commun Algebra, 2019
Zheng S, Guo L, Rosenkranz M.
europepmc   +1 more source

Rota-Baxter operators and post-Lie algebra structures on semisimple Lie algebras. [PDF]

Commun Algebra, 2019
Burde D, Gubarev V.
europepmc   +1 more source

Algebras constructed by Rota-Baxter operators

For associative commutative algebras $A$ with Rota-Baxter operator $R$ identities of the algebra $AR=(A,\circ)$, where $a\circ b= aR(b),$ are found.
openaire   +2 more sources

Rota-Baxter Operators on Dual Quaternion Algebra

16 ...
Oubba, Hassan, Farooq, Azhar, Shakoor, Kamran   +2 more
openaire   +2 more sources