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Generalized Kantor Double

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 $δ$-superderivations of a generalized Kantor double whose even part is prime.

preprint2011arXivOpen access
Ivan Kaygorodov
math.RA
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Ivan Kaygorodov

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