On the Amitsur property of radicals
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...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2006 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157377 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862701928201322496 |
|---|---|
| author | Loi, N.V. Wiegandt, R. |
| author_facet | Loi, N.V. Wiegandt, R. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T16:43:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157377 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:43:07Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Loi, N.V. Wiegandt, R. 2019-06-20T03:08:45Z 2019-06-20T03:08:45Z 2006 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. https://nasplib.isofts.kiev.ua/handle/123456789/157377 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. Research supported by the Hungarian OTKA Grant # T043034 en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the Amitsur property of radicals Article published earlier |
| spellingShingle | On the Amitsur property of radicals Loi, N.V. Wiegandt, R. |
| title | On the Amitsur property of radicals |
| title_full | On the Amitsur property of radicals |
| title_fullStr | On the Amitsur property of radicals |
| title_full_unstemmed | On the Amitsur property of radicals |
| title_short | On the Amitsur property of radicals |
| title_sort | on the amitsur property of radicals |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157377 |
| work_keys_str_mv | AT loinv ontheamitsurpropertyofradicals AT wiegandtr ontheamitsurpropertyofradicals |