On speciality of Jordan brackets

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Author: Shestakov, I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154623
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On speciality of Jordan brackets / I. Shestakov // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 94–101. — Бібліогр.: 19 назв. — англ.

We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the criterium. The question on its sufficiency remains open.