On 2-primal Ore extensions
Let R be a ring, be an automorphism of R and δ be a σ-derivation of R. We define a δ property on R. We say that R is a δ-ring if aδ(a) ∊ P(R) implies a ∊ P(R), where P(R) denotes the prime radical of R. We ultimately show the following. Let R be a Noetherian δ-ring, which is also an algebra over Q...
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| Published in: | Український математичний вісник |
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| Date: | 2007 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124514 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On 2-primal Ore extensions / V.K. Bhat // Український математичний вісник. — 2007. — Т. 4, № 2. — С. 173-179. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862542275846864896 |
|---|---|
| author | Bhat, V.K. |
| author_facet | Bhat, V.K. |
| citation_txt | On 2-primal Ore extensions / V.K. Bhat // Український математичний вісник. — 2007. — Т. 4, № 2. — С. 173-179. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | Let R be a ring, be an automorphism of R and δ be a σ-derivation of R. We define a δ property on R. We say that R is a δ-ring if aδ(a) ∊ P(R) implies a ∊ P(R), where P(R) denotes the prime radical of R. We ultimately show the following. Let R be a Noetherian δ-ring, which is also an algebra over Q, σ and δ be as usual such that σ(δ(a)) = δ(σ(a)), for all a ∊ R and σ(P) = P, P any minimal prime ideal of R. Then R[x, σ(, δ] is a 2-primal Noetherian ring.
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| first_indexed | 2025-11-24T18:45:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124514 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-11-24T18:45:24Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bhat, V.K. 2017-09-28T13:38:53Z 2017-09-28T13:38:53Z 2007 On 2-primal Ore extensions / V.K. Bhat // Український математичний вісник. — 2007. — Т. 4, № 2. — С. 173-179. — Бібліогр.: 15 назв. — англ. 1810-3200 2000 MSC. 16XX, 16N40, 16P40, 16W20, 16W25. https://nasplib.isofts.kiev.ua/handle/123456789/124514 Let R be a ring, be an automorphism of R and δ be a σ-derivation of R. We define a δ property on R. We say that R is a δ-ring if aδ(a) ∊ P(R) implies a ∊ P(R), where P(R) denotes the prime radical of R. We ultimately show the following. Let R be a Noetherian δ-ring, which is also an algebra over Q, σ and δ be as usual such that σ(δ(a)) = δ(σ(a)), for all a ∊ R and σ(P) = P, P any minimal prime ideal of R. Then R[x, σ(, δ] is a 2-primal Noetherian ring. en Інститут прикладної математики і механіки НАН України Український математичний вісник On 2-primal Ore extensions Article published earlier |
| spellingShingle | On 2-primal Ore extensions Bhat, V.K. |
| title | On 2-primal Ore extensions |
| title_full | On 2-primal Ore extensions |
| title_fullStr | On 2-primal Ore extensions |
| title_full_unstemmed | On 2-primal Ore extensions |
| title_short | On 2-primal Ore extensions |
| title_sort | on 2-primal ore extensions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124514 |
| work_keys_str_mv | AT bhatvk on2primaloreextensions |