24 citations · 105 across the 22 of their papers we have counts for
23 papers
Symmetry groups of pfaffians of symmetric matrices
Askar Dzhumadil'daev
We prove that symmetry group of the pfaffian polynomial of a symmetric matrix is a dihedral group. We calculate pfaffians of symmetric matrices with components and $\…
Unary and binary Leibniz algebras
N. A. Ismailov, A. S. Dzhumadil'daev
An algebra is said to be a unary Leibniz algebra if every one-generated subalgebra is a Leibniz algebra. An algebra is said to be a binary Leibniz algebra if every two-generated su…
Free assosymmetric algebras as modules of groups
Askar S. Dzhumadil'daev, Bekzat K. Zhakhayev
An algebra with identities is called {\it assosymmetric}, where is associator. We study -module, -module and -module…
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…
Polynomial identities of bicommutative algebras, Lie and Jordan elements
A. S. Dzhumadil'daev, N. A. Ismailov
An algebra with identities is called bicommutative. We construct list of identities satisfied by commutator and anti-commutator products in a free bico…
Logarithmic form of Lagrange inversion formula
A. S. Dzhumadil'daev
We give presentation of composition inverse of formal power serie in a logarithmic form.