On associative algebras satisfying the identity x⁵=0
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On associative algebras satisfying the identity x⁵=0
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| Creator |
Shestakov, I.
Zhukavets, N. |
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| Description |
We study Kuzmin’s conjecture on the index of nilpotency for the variety N il₅ of associative nil-algebras of degree 5. Due to Vaughan-Lee [11] the problem is reduced to that for k-generator N il₅-superalgebras, where k ≤ 5. We confirm Kuzmin’s conjecture for 2-generator superalgebras proving that they are nilpotent of degree 15. |
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| Date |
2019-06-17T15:50:43Z
2019-06-17T15:50:43Z 2004 |
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| Type |
Article
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| Identifier |
On associative algebras satisfying the identity x⁵=0 / I. Shestakov, N. Zhukavets // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 112–120. — Бібліогр.: 13 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 16R10; 16N40, 16R30, 16W55. http://dspace.nbuv.gov.ua/handle/123456789/155957 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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