3 citations · 4 across the 10 of their papers we have counts for
13 papers
Simple n-Lie Poisson Algebras
Farukh Mashurov
Let be a simple -Lie Poisson algebra over a field of zero characteristic, Then we prove that the -Lie algebra is simple, w…
On Zinbiel and Tortkara superalgebras
Sofiane Bouarroudj, Farukh Mashurov
In this paper, we study Zinbiel superalgebras and special Tortkara superalgebras, highlighting key differences between the super and the non-super setting. We present examples of Z…
On the generalized Poisson and transposed Poisson algebras
Askar Dzhumadil'daev, Nurlan Ismailov, Farukh Mashurov
We provide the polynomial identities of algebras that are both generalized Poisson algebras and transposed Poisson algebras. We establish defining identities via single operation f…
On the transposed Poisson n-Lie algebras
Farukh Mashurov
We study unital commutative associative algebras and their associated n-Lie algebras, showing that they are strong transposed Poisson n-Lie algebras under specific compatibility co…
Mutations of algebras
Ivan Kaygorodov, Farukh Mashurov
We describe mutation elements in free algebras. Moreover, we construct a base of free mutation of free algebra. Using Cohn's criterion for the s…
Generalized sharped cubic form and split spin factor algebra
Vsevolod Gubarev, Farukh Mashurov, Alexander Panasenko
There is a well-known construction of a Jordan algebra via a sharped cubic form. We introduce a generalized sharped cubic form and prove that the split spin factor algebra is induc…
On Pre-Novikov Algebras and Derived Zinbiel Variety
Pavel Kolesnikov, Farukh Mashurov, Bauyrzhan Sartayev
For a non-associative algebra with a derivation , its derived algebra is the same space equipped with new operations , , $a,b\i…
Novikov dialgebras and perm algebras
F. Mashurov, B. K. Sartayev
In this paper, we consider Perm algebra with the derivation . The algebra itself is equipped with the new operation . We construct a linear basis of the free…
Products of commutator ideals of some Lie-admissible algebras
Ivan Kaygorodov, Farukh Mashurov, Tran Giang Nam +1
In this article, we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras, bicommutative algebras, and assosymmetric algebras. More pre…
One-generated nilpotent assosymmetric algebras
Ivan Kaygorodov, Farukh Mashurov
We give the classification of - and -dimensional complex one-generated nilpotent assosymmetric algebras.
Unified computational approach to nilpotent algebra classification problems
Shirali Kadyrov, Farukh Mashurov
In this article, we provide an algorithm with Wolfram Mathematica code that gives a unified computational power in classification of finite dimensional nilpotent algebras using Skj…
Generalized continued fraction expansions for and
Shirali Kadyrov, Farukh Mashurov
Recently Raayoni et al. announced various conjectures on continued fractions of fundamental constants automatically generated with machine learning techniques. In this paper we pro…
On the speciality of Tortkara algebras
Askar Dzhumadil'daev, Nurlan Ismailov, Farukh Mashurov
A criterion for elements of free Zinbiel algebras to be Lie or Jordan is established. This criterion is used in studying speciality problems of Tortkara algebras. We construct a ba…