2 citations · 2 across the 4 of their papers we have counts for
7 papers
Malcev classification for the variety of left-symmetric algebras
A. Ryskeldin, B. Sartayev
In this paper, we study three classes of subvarieties inside the variety of left-symmetric algebras. We show that these subvarieties are naturally related to some well-known variet…
Free Algebras in Mal'cev-Type Subvarieties of Associative Algebras
B. Sartayev, A. Ydyrys
In this paper, we study free algebras in subvarieties of the variety of associative algebras singled out by Mal'cev's classification. For each subvariety, we construct the bases fo…
4-type subvarieties of the variety of associative algebras
A. Kunanbayev, B. Sartayev
In this paper, we consider four types of subvarieties of the variety of associative algebras. We study these subvarieties from the point of view of operads and show their connectio…
White Manin product and Hadamard product
P. S. Kolesnikov, B. K. Sartayev
In this paper, we consider three types of operads: alternative, assosymmetric, and bicommutative. We prove that the Hadamard product of these operads with the Novikov operad coinci…
Differential Novikov algebras
A. Dauletiyarova, B. Sartayev
In this paper, we consider Novikov algebra with derivation and algebra obtained from its dual operad. It turns out that the obtained dual operad has a connection with bicommutative…
On the embedding of left-symmetric algebras into differential perm-algebras
P. S. Kolesnikov, B. K. Sartayev
Given an associative algebra satisfying the left commutativity identity (Perm-algebra) with a derivation , the new operation is left-symmetric (pre…