4 papers · 1 filter
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 $\…
Binary perm algebras and alternative algebras
A. Kunanbayev, B. K. Sartayev
In this paper, we describe the defining identities of a variety of binary perm algebras, which is a subvariety of the variety of alternative algebras. In addition, we construct a b…
On the free metabelian transposed Poisson and F-manifold algebras
K. Abdukhalikov, B. K. Sartayev
In this paper, we consider free transposed Poisson algebra and free F-manifold algebra with an additional metabelian identity. We construct a linear basis for both free metabelian…
On the free metabelian Novikov and metabelian Lie-admissible algebras
A. Dauletiyarova, K. Abdukhalikov, B. K. Sartayev
In this paper, we consider Lie-admissible algebras, which are free Novikov and free Lie-admissible algebras with an additional metabelian identity. We construct a linear basis for…