Rings whose non-zero derivations have finite kernels
We prove that every infinite ring $R$ is either differentially trivial or has a non-zero derivation $d$ with an infinite kernel $Ker\, d$.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2013-01-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/90 |
| _version_ | 1818947013091262464 |
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| author | O. D. Artemovych |
| author_facet | O. D. Artemovych |
| author_sort | O. D. Artemovych |
| collection | DOAJ |
| description | We prove that every infinite ring $R$ is either differentially trivial or has a non-zero derivation $d$ with an infinite kernel $Ker\, d$. |
| first_indexed | 2024-12-20T08:24:09Z |
| format | Article |
| id | doaj.art-742b176b32a34c359f2af6990c9cc87d |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-12-20T08:24:09Z |
| publishDate | 2013-01-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-742b176b32a34c359f2af6990c9cc87d2022-12-21T19:46:53ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102013-01-0132131710.15330/cmp.3.2.13-1794Rings whose non-zero derivations have finite kernelsO. D. Artemovych0Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, UkraineWe prove that every infinite ring $R$ is either differentially trivial or has a non-zero derivation $d$ with an infinite kernel $Ker\, d$.http://journals.pu.if.ua/index.php/cmp/article/view/90 |
| spellingShingle | O. D. Artemovych Rings whose non-zero derivations have finite kernels Karpatsʹkì Matematičnì Publìkacìï |
| title | Rings whose non-zero derivations have finite kernels |
| title_full | Rings whose non-zero derivations have finite kernels |
| title_fullStr | Rings whose non-zero derivations have finite kernels |
| title_full_unstemmed | Rings whose non-zero derivations have finite kernels |
| title_short | Rings whose non-zero derivations have finite kernels |
| title_sort | rings whose non zero derivations have finite kernels |
| url | http://journals.pu.if.ua/index.php/cmp/article/view/90 |
| work_keys_str_mv | AT odartemovych ringswhosenonzeroderivationshavefinitekernels |