Local Rota--Baxter operators of weight zero on nilpotent evolution algebras with maximal nilindex

Izzat Qaralleh, Farrukh Mukhamedov, Otabek Khakimov

Let $E$ be an $n$-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…