Differentially trivial and rigid right semi-artinian rings

We obtain a characterization of right semi-artinian rings which have only trivial derivations and prove that a rigid (i.e. has only the trivial ring endomorphisms) right semi-artinian ring R is a field or isomorphic to some Zpn .

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Published in:Algebra and Discrete Mathematics
Date:2004
Main Author: Artemovych, O.D.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/156410
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Differentially trivial and rigid right semi-artinian rings / O.D. Artemovych // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 17–22. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-156410
record_format dspace
spelling Artemovych, O.D.
2019-06-18T13:25:42Z
2019-06-18T13:25:42Z
2004
Differentially trivial and rigid right semi-artinian rings / O.D. Artemovych // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 17–22. — Бібліогр.: 13 назв. — англ.
1726-3255
2000 Mathematics Subject Classification: 16W20, 13N15.
https://nasplib.isofts.kiev.ua/handle/123456789/156410
We obtain a characterization of right semi-artinian rings which have only trivial derivations and prove that a rigid (i.e. has only the trivial ring endomorphisms) right semi-artinian ring R is a field or isomorphic to some Zpn .
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Differentially trivial and rigid right semi-artinian rings
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Differentially trivial and rigid right semi-artinian rings
spellingShingle Differentially trivial and rigid right semi-artinian rings
Artemovych, O.D.
title_short Differentially trivial and rigid right semi-artinian rings
title_full Differentially trivial and rigid right semi-artinian rings
title_fullStr Differentially trivial and rigid right semi-artinian rings
title_full_unstemmed Differentially trivial and rigid right semi-artinian rings
title_sort differentially trivial and rigid right semi-artinian rings
author Artemovych, O.D.
author_facet Artemovych, O.D.
publishDate 2004
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
description We obtain a characterization of right semi-artinian rings which have only trivial derivations and prove that a rigid (i.e. has only the trivial ring endomorphisms) right semi-artinian ring R is a field or isomorphic to some Zpn .
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/156410
citation_txt Differentially trivial and rigid right semi-artinian rings / O.D. Artemovych // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 17–22. — Бібліогр.: 13 назв. — англ.
work_keys_str_mv AT artemovychod differentiallytrivialandrigidrightsemiartinianrings
first_indexed 2025-12-07T16:24:02Z
last_indexed 2025-12-07T16:24:02Z
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