Results 51 to 60 of about 455,961 (135)

Relative Rota-Baxter operators, modules and projections

open access: yes
summary:The present article is devoted to introduce, in a braided monoidal setting, the notion of module over a relative Rota-Baxter operator. It is proved that there exists an adjunction between the category of modules associated to an invertible ...
González Rodríguez, Ramón   +2 more
core   +1 more source

Free $\Omega$-Rota-Baxter systems and Gr\"obner-Shirshov bases [PDF]

open access: yes, 2022
In this paper, we propose the concept of an $\Omega$-Rota-Baxter system, which is a generalization of a Rota-Baxter system and an $\Omega$-Rota-Baxter algebra of weight zero.
Gao, Xing, Zhang, Huhu, Zhang, Yuanyuan
core  

On Rota-Baxter Nijenhuis TD algebra

open access: yes, 2014
There was a long standing problem of G. C. Rota regarding the classi- fication of all linear operators on associative algebras that satisfy algebraic identities.

core  

Rota-Baxter Systems for BiHom-Type Algebras

open access: yes, 2022
The purpose of this paper is to study Rota–Baxter systems for BiHom-type algebras such as BiHom analogues of associative, dendriform, quadri algebras.
Guo, Qiaoling   +10 more
core   +1 more source

23rd Congress of the European Hematology Association Stockholm, Sweden, June 14‐17, 2018

open access: yes, 2018
HemaSphere, Volume 2, Issue S1, Page 1-1113, June 2018.
wiley   +1 more source

Some properties of relative Rota--Baxter operators on groups [PDF]

open access: yes
We find connection between relative Rota--Baxter operators and usual Rota--Baxter operators. We prove that any relative Rota--Baxter operator on a group $H$ with respect to $(G, \Psi)$ defines a Rota--Baxter operator on the semi-direct product $H\rtimes_{
Kozlovskaya, T. A.   +4 more
core  

Bimodules over relative Rota-Baxter algebras and cohomologies [PDF]

open access: yes, 2022
A relative Rota-Baxter algebra is a generalization of a Rota-Baxter algebra. Relative Rota-Baxter algebras are closely related to dendriform algebras.
Das, Apurba, Mishra, Satyendra Kumar
core  

Extending structures of Rota-Baxter Lie algebras [PDF]

open access: yes, 2023
In this paper, we first introduce the notion of an extending datum of a Rota-Baxter Lie algebra through a vector space. We then construct a unified product for the Rota-Baxter Lie algebra with a vector space as a main ingredient in our approach. Finally,
Zhang, Yi, Peng, Xiao-song
core  

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