3 citations · 3 across the 6 of their papers we have counts for
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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…