Generalized Kantor Double

Abstract

We consider generalization of wellknown construction Kantor Double J(Γ, {,}) (KKM Double, Kantor-King-McCrimmon Double), where basic algebra Γ is nonunital algebra. We find necessary and sufficient conditions for a generalized Kantor double to be Jordan. We also describe $\delta$-superderivations of a generalized Kantor double whose even part is prime.

in Russian, 8 pages

References in corpus (1)

• On $\delta$-derivations of Lie algebras and superalgebras