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Generalized Kantor Double

2011/01/27 by Ivan Kaygorodov, Kaygorodov, Ivan
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1101.5212

in Russian, 8 pages

arxiv created 2011/01/27 · openalex publication_date 2011/01/27 · arxiv updated 2011/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

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