22 citations · 48 across the 14 of their papers we have counts for
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math.RA2021
Metabelian Lie and perm algebras
F. A. Mashurov, B. K. Sartayev
It is well known that any Lie algebra can be embedded into an associative algebra. We prove that any metabelian Lie algebra can be embedded into an algebra in the subvariety of per…
math.RA2021★ 2 cited
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…
math.RA2021★ 13 cited
On the special identities of Gelfand--Dorfman algebras
P. S. Kolesnikov, B. K. Sartayev
In this paper, we prove that the class of all special Gelfand--Dorfman algebras (GD-algebras) is closed with respect to homomorphisms and thus forms a variety. We also prove that e…