On the kernels of higher R-derivations of R[x1, ... xn]
| dc.contributor.author | Kour, S. | |
| dc.date.accessioned | 2023-03-14T17:00:36Z | |
| dc.date.available | 2023-03-14T17:00:36Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This research is supported by DST-INSPIRE grant IFA-13/MA-30. | uk_UA |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1726-3255 | |
| dc.identifier.other | DOI:10.12958/adm1236 | |
| dc.identifier.other | 2020 MSC: 13N15, 13C99 | |
| dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/188750 | |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Algebra and Discrete Mathematics | |
| dc.status | published earlier | uk_UA |
| dc.title | On the kernels of higher R-derivations of R[x1, ... xn] | uk_UA |
| dc.type | Article | uk_UA |
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