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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/153379 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862709863456440320 |
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| author | Bhat, V.K. |
| author_facet | Bhat, V.K. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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).
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| first_indexed | 2025-12-07T17:20:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153379 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:20:49Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bhat, V.K. 2019-06-14T03:41:41Z 2019-06-14T03:41:41Z 2009 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. https://nasplib.isofts.kiev.ua/handle/123456789/153379 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). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Prime radical of Ore extensions over δ -rigid rings Article published earlier |
| spellingShingle | Prime radical of Ore extensions over δ -rigid rings Bhat, V.K. |
| title | 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_short | Prime radical of Ore extensions over δ -rigid rings |
| title_sort | prime radical of ore extensions over δ -rigid rings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153379 |
| work_keys_str_mv | AT bhatvk primeradicaloforeextensionsoverδrigidrings |