2 papers
math.RA2026
Local Rota--Baxter operators of weight zero on nilpotent evolution algebras with maximal nilindex
Izzat Qaralleh, Farrukh Mukhamedov, Otabek Khakimov
Let be an -dimensional nilpotent evolution algebra of maximal nilindex over a field of characteristic zero. The Rota--Baxter operators of weights zero and one on such algebr…
math.RA2026
Rota-Baxter operators of nilpotent evolution algebras with maximal nilindex
Izzat Qaralleh, Farrukh Mukhamedov, Otabek Khakimov
Nilpotent evolution algebras of maximal nilindex admit a natural basis in which the structure matrix is strictly upper triangular. In this paper we classify Rota{Baxter operators o…