On sum of a nilpotent and an ideally finitealgebras
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On sum of a nilpotent and an ideally finitealgebras
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| Creator |
Bilun, S.V.
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| Description |
We study associative algebras R over arbitrary fields which can be decomposed into a sum R=A+B of their subalgebras A and B such that A²=0 and B is ideally finite (is a sum of its finite dimensional ideals). We prove that R has a locally nilpotent ideal I such that R/I is an extension of ideally finite algebra by a nilpotent algebra. Some properties of ideally finite algebras are also established.
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| Date |
2019-06-10T14:54:53Z
2019-06-10T14:54:53Z 2007 |
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| Type |
Article
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| Identifier |
On sum of a nilpotent and an ideally finitealgebras / S.V. Bilun // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 38–45. — Бібліогр.: 7 назв. — англ.
1726-3255 2000 Mathematics Subject Classification:16N40. http://dspace.nbuv.gov.ua/handle/123456789/152370 |
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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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