5 citations · 16 across the 8 of their papers we have counts for
9 papers
Naturally graded p-filiform associative algebras
I. A. Karimjanov
In the paper, we describe -dimensional naturally graded nilpotent associative algebras with the characteristic sequence as called filiform a…
Local and 2-local automorphisms of some solvable Leibniz algebras
F. N. Arzikulov, I. A. Karimjanov, S. M. Umrzaqov
In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complem…
Local and 2-local derivations of the octonion algebra
F. N. Arzikulov, I. A. Karimjanov, S. Uguz
In the present paper, we prove that a local derivation on the octonion (Cayley) algebra over an arbitrary field, satisfying some conditions is a derivation, and every…
Some classes of nilpotent associative algebras
Ikboljon A. Karimjanov, Manuel Ladra
In this paper we classify filiform associative algebras of degree over a field of characteristic zero. Moreover, we also classify naturally graded complex filiform and quasi-fi…
Leibniz algebras constructed by representations of General Diamond Lie algebras
L. M. Camacho, I. A. Karimjanov, M. Ladra +1
In this paper we construct a minimal faithful representation of the -dimensional complex general Diamond Lie algebra, , which is isomorphic to a…
Solvable Leibniz algebras with triangular nilradicals
I. A. Karimjanov, A. Kh. Khudoyberdiyev, B. A. Omirov
In this paper the description of solvable Lie algebras with triangular nilradicals is extended to Leibniz algebras. It is proven that the matrices of the left and right operators o…
Some remarks on Leibniz algebras whose semisimple part related with
L. M. Camacho, S. Gómez-Vidal, B. A. Omirov +1
In this paper we identify the structure of complex finite-dimensional Leibniz algebras with associated Lie algebras where $…
Naturally graded Zinbiel algebras with nilindex
J. Q. Adashev, L. M. Camacho, S. Gómez-Vidal +1
We present the classification of a subclass of -dimensional naturally graded Zinbiel algebras. This subclass has the nilindex and the characteristic sequence …
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…