On speciality of Jordan brackets

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.

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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
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-154623
record_format dspace
spelling Shestakov, I.
2019-06-15T16:59:02Z
2019-06-15T16:59:02Z
2009
On speciality of Jordan brackets / I. Shestakov // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 94–101. — Бібліогр.: 19 назв. — англ.
1726-3255
2000 Mathematics Subject Classification:17C50, 17C70, 17A70.
https://nasplib.isofts.kiev.ua/handle/123456789/154623
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.
Partially supported by CNPq, grant 304991/2006-6 and by FAPESP, grant05/60337-2.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
On speciality of Jordan brackets
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title On speciality of Jordan brackets
spellingShingle On speciality of Jordan brackets
Shestakov, I.
title_short On speciality of Jordan brackets
title_full On speciality of Jordan brackets
title_fullStr On speciality of Jordan brackets
title_full_unstemmed On speciality of Jordan brackets
title_sort on speciality of jordan brackets
author Shestakov, I.
author_facet Shestakov, I.
publishDate 2009
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
description 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.
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/154623
citation_txt On speciality of Jordan brackets / I. Shestakov // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 94–101. — Бібліогр.: 19 назв. — англ.
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