Simple Jordan superalgebras with associative nil-semisimple even part
- Авторлар: Zhelyabin V.1
-
Мекемелер:
- Sobolev Institute of Mathematics, Novosibirsk State University
- Шығарылым: Том 57, № 6 (2016)
- Беттер: 987-1001
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170831
- DOI: https://doi.org/10.1134/S0037446616060069
- ID: 170831
Дәйексөз келтіру
Аннотация
Under study are the simple infinite-dimensional abelian Jordan superalgebras not isomorphic to the superalgebra of a bilinear form. We prove that the even part of such superalgebra is a differentially simple associative commutative algebra, and the odd part is a finitely generated projective module of rank 1. We describe unital simple Jordan superalgebras with associative nil-semisimple even part possessing two even elements which induce a nonzero derivation.
Авторлар туралы
V. Zhelyabin
Sobolev Institute of Mathematics, Novosibirsk State University
Хат алмасуға жауапты Автор.
Email: vicnic@math.nsc.ru
Ресей, Novosibirsk
![](/img/style/loading.gif)