Prime radical of Ore extensions over δ -rigid rings
Let R be a ring. Let σ be an automorphism of R and δ be a σ-derivation of R. We say that R is a δ-rigid ring if aδ(a)∈P(R) implies a∈P(R), a∈R; where P(R) is the prime radical of R. In this article, we find a relation between the prime radical of a δ-rigid ring R and that of R[x,σ,δ]. We generalize...
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| Дата: | 2009 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2009
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153379 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Prime radical of Ore extensions over δ -rigid rings / V.K. Bhat // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 14–19. — Бібліогр.: 13 назв. — англ. |
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irk-123456789-1533792019-06-15T01:26:19Z Prime radical of Ore extensions over δ -rigid rings Bhat, V.K. Let R be a ring. Let σ be an automorphism of R and δ be a σ-derivation of R. We say that R is a δ-rigid ring if aδ(a)∈P(R) implies a∈P(R), a∈R; where P(R) is the prime radical of R. In this article, we find a relation between the prime radical of a δ-rigid ring R and that of R[x,σ,δ]. We generalize the result for a Noetherian Q-algebra (Q is the field of rational numbers). 2009 Article Prime radical of Ore extensions over δ -rigid rings / V.K. Bhat // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 14–19. — Бібліогр.: 13 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16-XX; 16P40,16P50,16U20. http://dspace.nbuv.gov.ua/handle/123456789/153379 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let R be a ring. Let σ be an automorphism of R and δ be a σ-derivation of R. We say that R is a δ-rigid ring if aδ(a)∈P(R) implies a∈P(R), a∈R; where P(R) is the prime radical of R. In this article, we find a relation between the prime radical of a δ-rigid ring R and that of R[x,σ,δ]. We generalize the result for a Noetherian Q-algebra (Q is the field of rational numbers). |
| format |
Article |
| author |
Bhat, V.K. |
| spellingShingle |
Bhat, V.K. Prime radical of Ore extensions over δ -rigid rings Algebra and Discrete Mathematics |
| author_facet |
Bhat, V.K. |
| author_sort |
Bhat, V.K. |
| title |
Prime radical of Ore extensions over δ -rigid rings |
| title_short |
Prime radical of Ore extensions over δ -rigid rings |
| title_full |
Prime radical of Ore extensions over δ -rigid rings |
| title_fullStr |
Prime radical of Ore extensions over δ -rigid rings |
| title_full_unstemmed |
Prime radical of Ore extensions over δ -rigid rings |
| title_sort |
prime radical of ore extensions over δ -rigid rings |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153379 |
| citation_txt |
Prime radical of Ore extensions over δ
-rigid rings / V.K. Bhat // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 14–19. — Бібліогр.: 13 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT bhatvk primeradicaloforeextensionsoverdrigidrings |
| first_indexed |
2023-05-20T17:38:48Z |
| last_indexed |
2023-05-20T17:38:48Z |
| _version_ |
1796153770093051904 |