Simple Jordan superalgebras with associative nil-semisimple even part
- Autores: Zhelyabin V.1
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Afiliações:
- Sobolev Institute of Mathematics, Novosibirsk State University
- Edição: Volume 57, Nº 6 (2016)
- Páginas: 987-1001
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170831
- DOI: https://doi.org/10.1134/S0037446616060069
- ID: 170831
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Resumo
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.
Sobre autores
V. Zhelyabin
Sobolev Institute of Mathematics, Novosibirsk State University
Autor responsável pela correspondência
Email: vicnic@math.nsc.ru
Rússia, Novosibirsk
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