19 citations · 36 across the 7 of their papers we have counts for
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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…
Derivation of Five-Dimensional Lotka-Voltera Algebra
Ahmad Alarafeen, Izzat Qaralleh, Azhana Ahmad
Lotka-Volterra (LV) algebras are generally applied in solving biological problems and in examining the interactions among neighboring individuals. With reference to the methods app…
Volterra Evolution Algebras and Their Graphs
Izzat Qaralleh, Farrukh Mukhamedov
In this paper, we introduce Volterra evolution algebras which are evolution algebras whose structural matrices are described by skew symmetric matrices. A main result of the presen…
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…
Genetic Volterra algebras and their derivations
Rasul Ganikhodzhaev, Farrukh Mukhamedov, Abror Pirnapasov +1
The present paper is devoted to genetic Volterra algebras. We first study characters of such algebras. We fully describe associative genetic Volterra algebras, in this case all der…
Few remarks on evolution algebras
Abror Kh. Khudoyberdiyev, Bakhrom A. Omirov, Izzat Qaralleh
In the present paper we study some algebraic properties of evolution algebras. Moreover, we reduce the study of evolution algebras of permutations to two special types of evolution…