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math.RA2024★ 1 cited
Rota-Baxter operators of weight zero on the matrix algebra of order three without unit in kernel
Vsevolod Gubarev
We describe all Rota-Baxter operators of weight zero on the matrix algebra over a quadratically closed field of characteristic not 2 or 3 such that . Th…
math.GR2024
Rota-Baxter operators on dihedral and alternating groups
Alexey Galt, Vsevolod Gubarev
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…
math.RA2024★ 3 cited
Rota-Baxter operators of weight zero on upper-triangular matrices of order three
Vsevolod Gubarev
We describe all Rota-Baxter operators of weight zero on the algebra of upper-triangular matrices of order three over a field of characteristic 0. For this, we apply th…