45 citations · 251 across the 75 of their papers we have counts for
8 papers · 1 filter
On nilpotent index and dibaricity of evolution algebras
J. M. Casas, M. Ladra, B. A. Omirov +1
An evolution algebra corresponds to a quadratic matrix of structural constants. It is known the equivalence between nil, right nilpotent evolution algebras and evolution algebr…
The classification of non-characteristically nilpotent filiform Leibniz algebras
A. Kh. Khudoyberdiyev, M. Ladra, B. A. Omirov
In this paper we investigate the derivations of filiform Leibniz algebras. Recall that the set of filiform Leibniz algebras of fixed dimension is decomposed into three non-intersec…
p-filiform Zinbiel algebras
L. M. Camacho, E. M. Cañete, S. Gómez-Vidal +1
The paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras: the naturally graded p-filiform Zinbiel algebras. A Zinbiel algebra is the dual to Lei…
On cubic equations over adic field
Farrukh Mukhamedov, Bakhrom Omirov, Mansoor Saburov
We provide a solvability criteria for a depressed cubic equation in domains $\bz_p^{*},\bz_p,\bq_p$. We show that, in principal, the Cardano method is not always applicable for suc…
A characterization of nilpotent Leibniz algebras
Alice Fialowski, A. Kh. Khudoyberdiyev, B. A. Omirov
W. A. Moens proved that a Lie algebra is nilpotent if and only if it admits an invertible Leibniz-derivation. In this paper we show that with the definition of Leibniz-derivation f…
Classification of solvable Leibniz algebras with naturally graded filiform nilradical
J. M. Casas, M. Ladra, B. A. Omirov +1
In this paper we show that the method for describing solvable Lie algebras with given nilradical by means of non-nilpotent outer derivations of the nilradical is also applicable to…