Simple 5-Dimensional Right Alternative Superalgebras with Trivial Even Part
- Авторы: Pchelintsev S.1,2, Shashkov O.1
-
Учреждения:
- Financial University Under the Government of the Russian Federation
- Sobolev Institute of Mathematics
- Выпуск: Том 58, № 6 (2017)
- Страницы: 1078-1089
- Раздел: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171607
- DOI: https://doi.org/10.1134/S0037446617060179
- ID: 171607
Цитировать
Аннотация
We study the simple right alternative superalgebras whose even part is trivial; i.e., the even part has zero product. A simple right alternative superalgebra with the trivial even part is singular. The first example of a singular superalgebra was given in [1]. The least dimension of a singular superalgebra is 5. We prove that the singular 5-dimensional superalgebras are isomorphic if and only if suitable quadratic forms are equivalent. In particular, there exists a unique singular 5-dimensional superalgebra up to isomorphism over an algebraically closed field.
Ключевые слова
Об авторах
S. Pchelintsev
Financial University Under the Government of the Russian Federation; Sobolev Institute of Mathematics
Автор, ответственный за переписку.
Email: pchelinzev@mail.ru
Россия, Moscow; Novosibirsk
O. Shashkov
Financial University Under the Government of the Russian Federation
Email: pchelinzev@mail.ru
Россия, Moscow
![](/img/style/loading.gif)