8 citations · 10 across the 7 of their papers we have counts for
7 papers
Nonsymmetric versions of binary quadratic operads
F. A. Mashurov, B. K. Sartayev
In this paper, we study the white Manin product of the associative operad $\As$ with a binary quadratic operad $\Var$. We introduce the notion of a nonsymmetric version of $\Var$ a…
Varieties of initial dialgebras and some of their Koszul dual operads
Aigerim Dauletiyarova, Abdenacer Makhlouf, Bauyrzhan Sartayev
In this paper, for a given variety $\Var$, we present a universal algorithm for constructing a subvariety of $\Var$-dialgebras from which one can recover an algebra belonging to $\…
-Poisson and transposed -Poisson algebras
Hani Abdelwahab, Ivan Kaygorodov, Bauyrzhan Sartayev
We present a comprehensive study of two new Poisson-type algebras. Namely, we are working with -Poisson and transposed -Poisson algebras. Our research shows that these algebr…
Shift associative algebras
Hani Abdelwahab, Ivan Kaygorodov, Bauyrzhan Sartayev
We present a comprehensive study of algebras satisfying the identity named as shift associative algebras. Our research shows that these algebras are related to many…
Some generalizations of the variety of transposed Poisson algebras
B. K. Sartayev
It is shown that the variety of transposed Poisson algebras coincides with the variety of Gelfand-Dorfman algebras in which the Novikov multiplication is commutative. The Gröbner-S…
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…
Free product of operads and free basis of Lie-admissible operad
Bauyrzhan Sartayev
In this paper, we introduce the definition of free product of operads, following the definition of a free product of algebras. There is a given method of finding the basis and dime…