Structure of some Unital Simple Jordan Superalgebras with Associative Even Part
- Авторы: Zhelyabin V.1
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Учреждения:
- Sobolev Institute of Mathematics
- Выпуск: Том 59, № 6 (2018)
- Страницы: 1051-1062
- Раздел: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172104
- DOI: https://doi.org/10.1134/S0037446618060083
- ID: 172104
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Аннотация
Studying the unital simple Jordan superalgebras with associative even part, we describe the unital simple Jordan superalgebras such that every pair of even elements induces the zero derivation and every pair of two odd elements induces the zero derivation of the even part. We show that such a superalgebra is either a superalgebra of nondegenerate bilinear form over a field or a four-dimensional simple Jordan superalgebra.
Об авторах
V. Zhelyabin
Sobolev Institute of Mathematics
Автор, ответственный за переписку.
Email: vicnic@math.nsc.ru
Россия, Novosibirsk