On solvable Z₃-graded alternative algebras
Let A=A₀⊕A₁⊕A₂ be an alternative Z₃-graded
 algebra. The main result of the paper is the following: if A0 is
 solvable and the characteristic of the ground field not equal 2,3
 and 5, then A is solvable.
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2015 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155140 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On solvable Z₃-graded alternative algebras / M. Goncharov // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 203-216. — Бібліогр.: 15 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862723171807920128 |
|---|---|
| author | Goncharov, M. |
| author_facet | Goncharov, M. |
| citation_txt | On solvable Z₃-graded alternative algebras / M. Goncharov // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 203-216. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let A=A₀⊕A₁⊕A₂ be an alternative Z₃-graded
algebra. The main result of the paper is the following: if A0 is
solvable and the characteristic of the ground field not equal 2,3
and 5, then A is solvable.
|
| first_indexed | 2025-12-07T18:40:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155140 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:40:28Z |
| publishDate | 2015 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Goncharov, M. 2019-06-16T09:41:03Z 2019-06-16T09:41:03Z 2015 On solvable Z₃-graded alternative algebras / M. Goncharov // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 203-216. — Бібліогр.: 15 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/155140 Let A=A₀⊕A₁⊕A₂ be an alternative Z₃-graded
 algebra. The main result of the paper is the following: if A0 is
 solvable and the characteristic of the ground field not equal 2,3
 and 5, then A is solvable. The author is grateful to Prof. I. Shestakov for his attention to this work. The author would also like to gratitude the University of Sao Paulo and Sao Paulo research foundation (FAPESP) for hostility and funds that enabled the author to make this article.The author was supported by FAPESP(2013/02039-1) and by RFFI(12-01-33031). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On solvable Z₃-graded alternative algebras Article published earlier |
| spellingShingle | On solvable Z₃-graded alternative algebras Goncharov, M. |
| title | On solvable Z₃-graded alternative algebras |
| title_full | On solvable Z₃-graded alternative algebras |
| title_fullStr | On solvable Z₃-graded alternative algebras |
| title_full_unstemmed | On solvable Z₃-graded alternative algebras |
| title_short | On solvable Z₃-graded alternative algebras |
| title_sort | on solvable z₃-graded alternative algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155140 |
| work_keys_str_mv | AT goncharovm onsolvablez3gradedalternativealgebras |