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.
Збережено в:
| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2021 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2021
|
| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188750 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188750 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1887502023-03-15T01:27:29Z On the kernels of higher R-derivations of R[x1, ... xn] Kour, S. 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. 2021 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/188750 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 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. |
| format |
Article |
| author |
Kour, S. |
| spellingShingle |
Kour, S. On the kernels of higher R-derivations of R[x1, ... xn] Algebra and Discrete Mathematics |
| author_facet |
Kour, S. |
| author_sort |
Kour, S. |
| title |
On the kernels of higher R-derivations of R[x1, ... xn] |
| 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] |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2021 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT kours onthekernelsofhigherrderivationsofrx1xn |
| first_indexed |
2023-10-18T23:09:05Z |
| last_indexed |
2023-10-18T23:09:05Z |
| _version_ |
1796157379610411008 |