Results 61 to 70 of about 455,961 (135)

Rota–Baxter algebras and dendriform algebras [PDF]

open access: yes, 2008
In this paper we study the adjoint functors between the category of Rota–Baxter algebras and the categories of dendriform dialgebras and trialgebras. In analogy to the well-known theory of the adjoint functor between the category of associative algebras ...
Guo, Li, Ebrahimi-Fard, Kurusch
core   +1 more source

Correlation functions, fusion rules, and the classical Yang-Baxter equation of vertex operator algebras [PDF]

open access: yes, 2023
We introduce the notion of space of correlation functions associated with three modules $M^1, M^2$, and $M^3$ over a vertex operator algebra $V$.
Liu, Jianqi
core  

Curved Rota-Baxter systems [PDF]

open access: yes, 2017
Rota-Baxter systems are modified by the inclusion of a curvature term. It is shown that, subject to specific properties of the curvature form, curved Rota- Baxter systems (A,R,S,ω) induce associative and (left) pre-Lie products on the algebra A.
Tomasz Brzezinski
core  

Rota-Baxter operators and Loday-type algebras on the BiHom-associative conformal algebras [PDF]

open access: yes, 2023
(Tri)dendriform algebras, Rota-Baxter operators, and closely related NS-algebras have a number of dominant applications in physics, especially in quantum field theory.
Asif, Sania, Wang, Yao
core  

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

open access: yesInt J Comput Assist Radiol Surg, 2023
Osawa K   +6 more
europepmc   +1 more source

The Rota-Baxter algebra structures on split semi-quaternion algebra [PDF]

open access: yes
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, Yong, Deng
core  

On rings of differential Rota–Baxter operators

open access: yes, 2018
Using the language of operated algebras, we construct and investigate a class of operator rings and enriched modules induced by a derivation or Rota–Baxter operator.
Markus Rosenkranz, Li Guo, Xing Gao
core   +1 more source

Rota–Baxter cosystems and coquasitriangular mixed bialgebras

open access: yes, 2020
International audienceIn this paper, we present a dual version of T. Brzeziński’s results about Rota–Baxter systems which appeared in [Rota–Baxter systems, dendriform algebras and covariant bialgebras, J. Algebra 460 (2016) 1–25].
Silvestrov, Sergei,   +5 more
core   +1 more source

Rota–Baxter Operators on Quadratic Algebras

open access: yes, 2018
We prove that all Rota–Baxter operators on a quadratic division algebra are trivial. For nonzero weight, we state that all Rota–Baxter operators on the simple odd-dimensional Jordan algebra of bilinear form are projections on a subalgebra along another ...
Benito, Pilar (Universidad de La Rioja)   +2 more
core   +1 more source

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

open access: yesNano Res, 2022
Sa-Nguanmoo N   +5 more
europepmc   +1 more source

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