32 citations · 38 across the 5 of their papers we have counts for
5 papers
On the degenerations of solvable Leibniz algebras
J. M. Casas, A. Kh. Khudoyberdiyev, M. Ladra +1
The present paper is devoted to the description of rigid solvable Leibniz algebras. In particular, we prove that solvable Leibniz algebras under some conditions on the nilradical a…
Classification of p-adic 6-dimensional filiform Leibniz algebras by solution of x^q=a
M. Ladra, B. A. Omirov, U. A. Rozikov
In this paper we study the -adic equation over the field of -adic numbers. We construct an algorithm of calculation of criteria of solvability in the case of …
Some radicals, Frattini and Cartan Subalgebras of Leibniz n-algebras
F. Gago, M. Ladra, B. A. Omirov +1
In the present work we introduce notions such as -solvability, - and -nilpotency and the corresponding radicals. We prove that these radicals are invariant under derivat…
Cartan Subalgebras of Leibniz -Algebras
S. Albeverio, Sh. A. Ayupov, B. A. Omirov +1
The present paper is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz -algebras. The relationship between Cartan subalgebras and…
Classification of 4-dimensional nilpotent complex Leibniz algebras
S. Albeverio, B. A. Omirov, I. S. Rakhimov
The Leibniz algebras appeared as a generalization of the Lie algebras. In this work we deal with the classification of nilpotent complex Leibniz algebras of low dimensions. Namely,…