22 citations · 48 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
On the differential Novikov algebras
A. Dauletiyarova, B. Sartayev
We study the quadratic operad $\Der\Nov_q$ determined by the degree- identities arising from the operad $\Nov\circ\Nov$, and its quadratic dual $\Der\Nov^!$. We show that the na…