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math.RA2025
Rota-Baxter operators of nonzero weight on the split Cayley-Dickson algebra
A. S. Panasenko
We describe Rota-Baxter operators on split octonions. It turns out that up to some transformations there exists exactly one such non-splitting operator over any field. We also obta…
math.RA2024
Rota-Baxter operators of weight zero on Cayley-Dickson algebra
A. S. Panasenko
All Rota-Baxter operators of weight zero on split octonion algebra over a~field of characteristic not 2 are classified up to conjugation by automorphisms and antiautomorphisms. Thu…