On the kernels of higher R-derivations of R[x1, ... xn]
Let R be an integral domain and A = R[x1, . . . , xn] be the polynomial ring in n variables. In this article, we study the kernel of higher R-derivation D of A. It is shown that if R is a HCF ring and tr. degR(Aᴰ) ≤ 1 then Aᴰ = R[f] for some f ∈ A.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2021 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188750 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the kernels of higher R-derivations of R[x1, ... xn] / S. Kour // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 236-240. — Бібліогр.: 9 назв. — англ. |
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Kour, S. 2023-03-14T17:00:36Z 2023-03-14T17:00:36Z 2021 On the kernels of higher R-derivations of R[x1, ... xn] / S. Kour // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 236-240. — Бібліогр.: 9 назв. — англ. 1726-3255 DOI:10.12958/adm1236 2020 MSC: 13N15, 13C99 https://nasplib.isofts.kiev.ua/handle/123456789/188750 Let R be an integral domain and A = R[x1, . . . , xn] be the polynomial ring in n variables. In this article, we study the kernel of higher R-derivation D of A. It is shown that if R is a HCF ring and tr. degR(Aᴰ) ≤ 1 then Aᴰ = R[f] for some f ∈ A. This research is supported by DST-INSPIRE grant IFA-13/MA-30. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the kernels of higher R-derivations of R[x1, ... xn] Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the kernels of higher R-derivations of R[x1, ... xn] |
| spellingShingle |
On the kernels of higher R-derivations of R[x1, ... xn] Kour, S. |
| title_short |
On the kernels of higher R-derivations of R[x1, ... xn] |
| title_full |
On the kernels of higher R-derivations of R[x1, ... xn] |
| title_fullStr |
On the kernels of higher R-derivations of R[x1, ... xn] |
| title_full_unstemmed |
On the kernels of higher R-derivations of R[x1, ... xn] |
| title_sort |
on the kernels of higher r-derivations of r[x1, ... xn] |
| author |
Kour, S. |
| author_facet |
Kour, S. |
| publishDate |
2021 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
Let R be an integral domain and A = R[x1, . . . , xn] be the polynomial ring in n variables. In this article, we study the kernel of higher R-derivation D of A. It is shown that if R is a HCF ring and tr. degR(Aᴰ) ≤ 1 then Aᴰ = R[f] for some f ∈ A.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188750 |
| citation_txt |
On the kernels of higher R-derivations of R[x1, ... xn] / S. Kour // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 236-240. — Бібліогр.: 9 назв. — англ. |
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AT kours onthekernelsofhigherrderivationsofrx1xn |
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2025-12-07T16:05:25Z |
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2025-12-07T16:05:25Z |
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1850866166365421568 |