Simple Jordan superalgebras with associative nil-semisimple even part
- Authors: Zhelyabin V.N.1
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Affiliations:
- Sobolev Institute of Mathematics, Novosibirsk State University
- Issue: Vol 57, No 6 (2016)
- Pages: 987-1001
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170831
- DOI: https://doi.org/10.1134/S0037446616060069
- ID: 170831
Cite item
Abstract
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.
About the authors
V. N. Zhelyabin
Sobolev Institute of Mathematics, Novosibirsk State University
Author for correspondence.
Email: vicnic@math.nsc.ru
Russian Federation, Novosibirsk
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