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math.RA2025
Rota-Baxter type operators on trusses and derived structures
T. Chtioui, M. Elhamdadi, S. Mabrouk +1
The aim of this paper is to introduce and study the concepts of the Rota-Baxter operator and Reynolds operator within the framework of trusses. Moreover, we introduce and discuss d…
math.RA2025
Nijenhuis operators and mock-Lie bialgebras
Tianshui Ma, Sami Mabrouk, Abdenacer Makhlouf +1
A Nijenhuis mock-Lie algebra is a mock-Lie algebra equipped with a Nijenhuis operator. The purpose of this paper is to extend the well-known results about Nijenhuis mock-Lie algebr…