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ESICM LIVES 2022: part 2. [PDF]

open access: yesIntensive Care Med Exp, 2022
europepmc   +1 more source

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  

ESICM LIVES 2023. [PDF]

open access: yesIntensive Care Med Exp, 2023
europepmc   +1 more source

Rota-Baxter operators on dihedral and alternating groups [PDF]

open access: yes
Rota-Baxter operators on algebras, which appeared in 1960, have connections with different versions of the Yang-Baxter equation, pre- and postalgebras, double Poisson algebras, etc. In 2020, the notion of Rota-Baxter operator on a group was defined by L.
Gubarev, Vsevolod, Galt, Alexey
core  

Rota-Baxter operators on cocommutative Hopf algebras and Hopf braces [PDF]

open access: yes
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
Guo, Li   +3 more
core  

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