Rings whose non-zero derivations have finite kernels

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 $Ker d$.

Bibliographic Details
Main Author: Artemovych O.D.
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2011-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/90/79
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spelling doaj-d51cae6d71db4e6284d8c16e514c83ae2020-11-25T01:00:57ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272011-12-01321317Rings whose non-zero derivations have finite kernelsArtemovych O.D.We 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/90/79
collection DOAJ
language English
format Article
sources DOAJ
author Artemovych O.D.
spellingShingle Artemovych O.D.
Rings whose non-zero derivations have finite kernels
Karpatsʹkì Matematičnì Publìkacìï
author_facet Artemovych O.D.
author_sort Artemovych O.D.
title Rings whose non-zero derivations have finite kernels
title_short 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_sort rings whose non-zero derivations have finite kernels
publisher Vasyl Stefanyk Precarpathian National University
series Karpatsʹkì Matematičnì Publìkacìï
issn 2075-9827
publishDate 2011-12-01
description We prove that every infinite ring $R$ is either differentially trivial or has a non-zero derivation $d$ with an infinite kernel $Ker d$.
url http://journals.pu.if.ua/index.php/cmp/article/view/90/79
work_keys_str_mv AT artemovychod ringswhosenonzeroderivationshavefinitekernels
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