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arxiv: 1101.5212 · v1 · pith:E6ZF7RLMnew · submitted 2011-01-27 · 🧮 math.RA

Generalized Kantor Double

classification 🧮 math.RA
keywords doublekantorgeneralizedalgebragammabasicconditionsconsider
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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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