Structure of some Unital Simple Jordan Superalgebras with Associative Even Part
- Авторлар: Zhelyabin V.1
-
Мекемелер:
- Sobolev Institute of Mathematics
- Шығарылым: Том 59, № 6 (2018)
- Беттер: 1051-1062
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172104
- DOI: https://doi.org/10.1134/S0037446618060083
- ID: 172104
Дәйексөз келтіру
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.
Авторлар туралы
V. Zhelyabin
Sobolev Institute of Mathematics
Хат алмасуға жауапты Автор.
Email: vicnic@math.nsc.ru
Ресей, Novosibirsk