Generalized Kantor Double

Details Generalized Kantor Double Generalized Kantor Double

2011-01-27

arxiv.org/abs/1101.5212v1

Mathematics

Rings and Algebras

in Russian, 8 pages

Scientific paper

We consider generalization of wellknown construction Kantor Double J({\Gamma}, {,}) (KKM Double, Kantor-King-McCrimmon Double), where basic algebra {\Gamma} 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.

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