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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…
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…
Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex
Farrukh Mukhamedov, Otabek Khakimov, Bakhrom Omirov +1
In this paper is devoted to nilpotent finite-dimensional evolution algebras E with . We described Lie algebras associated with evolution algebras whose nilindex is…