On the Amitsur property of radicals
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Amitsur property of radicals
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| Creator |
Loi, N.V.
Wiegandt, R. |
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| Description |
The Amitsur property of a radical says that the radical of a polynomial ring is again a polynomial ring. A hereditary radical γ has the Amitsur property if and only if its semisimple class is polynomially extensible and satisfies: f(x) ∈ γ(A[x]) implies f(0) ∈ γ(A[x]). Applying this criterion, it is proved that the generalized nil radical has the Amitsur property. In this way the Amitsur property of a not necessarily hereditary normal radical can be checked. |
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| Date |
2019-06-20T03:08:45Z
2019-06-20T03:08:45Z 2006 |
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| Type |
Article
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| Identifier |
On the Amitsur property of radicals / N.V. Loi, R. Wiegandt // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 92–100. — Бібліогр.: 9 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 16N60. http://dspace.nbuv.gov.ua/handle/123456789/157377 |
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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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