30 citations · 130 across the 58 of their papers we have counts for
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Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras
K. K. Abdurasulov, A. Kh. Khudoyberdiyev, M. Ladra +1
In this paper we investigate pre-derivations of filiform Leibniz algebras. Recall that the set of filiform Leibniz algebras of fixed dimension can be decomposed into three non-inte…
Central extensions of filiform associative algebras
Iqboljon Karimjanov, Ivan Kaygorodov, Manuel Ladra
In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform associative algebras.
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…
Rota-type operators on null-filiform associative algebras
I. A. Karimjanov, Ivan Kaygorodov, Manuel Ladra
We give the description of homogeneous Rota-Baxter operators, Reynolds operators, Nijenhuis operators, Average operators and differential operator of weight 1 of null-filiform asso…
Braiding for categorical algebras and crossed modules of algebras II: Leibniz algebras
Alejandro Fernández-Fariña, Manuel Ladra
In this paper we study the category of braided categorical Leibniz algebras and braided crossed modules of Leibniz algebras and we relate these structures with the categories of br…
Gröbner Bases under Composition, Survey paper
Mahmoud S. Alsersawi, Manuel Ladra
This paper is a survey on the study of the behaviour of the composition of polynomials on the computation of Gröbner bases. This survey brings together some works published between…