55 citations · 270 across the 16 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.RA2015★ 1 cited
Jordan algebras admitting derivations with invertible values
Ivan Kaygorodov, Artem Lopatin, Yury Popov
The notion of derivation with invertible values as a derivation of ring with unity that only takes multiplicatively invertible or zero values appeared in a paper of Bergen, Herstei…
math.RA2015★ 30 cited
Generalized derivations of (color) n-ary algebras
Ivan Kaygorodov, Yury Popov
We generalize the results of Leger and Luks about generalized derivations of Lie algebras to the case of color -ary -algebras. Particularly, we prove some properties of gener…
math.RA2015★ 24 cited
A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations
Ivan Kaygorodov, Yury Popov
Moens proved that a finite-dimensional Lie algebra over field of characteristic zero is nilpotent if and only if it has an invertible Leibniz-derivation. In this article we prove t…