RT Journal Article
T1 Relative Rota-Baxter operators, modules and projections
A1 Fernández Vilaboa, José Manuel
A1 González Rodríguez, Ramón
A1 Ramos Pérez, Brais
K1 Braided monoidal category
K1 Hopf algebra
K1 Hopf brace
K1 relative Rota-Baxter operator
AB 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 relative RotaBaxter operator and the category of modules associated to a Hopf brace, which induces an equivalence by assuming certain additional hypothesis. Moreover, the notion of projection between relative Rota-Baxter operators is defined, and it is proved that those which are called “strong” give rise to a module according to the previous definition in the cocommutative setting.
PB Springer
SN 0011-4642
YR 2025
FD 2025-05-14
LK https://hdl.handle.net/10347/42260
UL https://hdl.handle.net/10347/42260
LA eng
NO Fernández Vilaboa, J.M., González Rodríguez, R. & Ramos Pérez, B. Relative Rota-Baxter operators, modules and projections. Czech Math J (2025). https://doi.org/10.21136/CMJ.2025.0467-24
NO The research has been supported by Ministerio de Ciencia e Innovación of Spain, Grant PID2020-115155GB-I00: Homologa, homotopa e invariantes categóricos en grupos y álgebras no asociativas, by Xunta de Galicia, Grant ED431C 2023/31 and by Xunta de Galicia, Grant ED481A-2023-023. Open access funding provided by University of Santiago de Compostela.
DS Minerva
RD 28 abr 2026