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 \(\mathbb{Z}_{p^n}\).
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/987 |
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| Journal Title: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-9872018-05-15T05:12:44Z Differentially trivial and rigid right semi-artinian rings Artemovych, O. D. Semi-artinian ring, differentially trivial ring 16W20, 13N15 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 \(\mathbb{Z}_{p^n}\). Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/987 Algebra and Discrete Mathematics; Vol 3, No 2 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/987/516 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-05-15T05:12:44Z |
| collection |
OJS |
| language |
English |
| topic |
Semi-artinian ring differentially trivial ring 16W20 13N15 |
| spellingShingle |
Semi-artinian ring differentially trivial ring 16W20 13N15 Artemovych, O. D. Differentially trivial and rigid right semi-artinian rings |
| topic_facet |
Semi-artinian ring differentially trivial ring 16W20 13N15 |
| format |
Article |
| author |
Artemovych, O. D. |
| author_facet |
Artemovych, O. D. |
| author_sort |
Artemovych, O. D. |
| title |
Differentially trivial and rigid right semi-artinian rings |
| 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 |
| 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 \(\mathbb{Z}_{p^n}\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/987 |
| work_keys_str_mv |
AT artemovychod differentiallytrivialandrigidrightsemiartinianrings |
| first_indexed |
2025-07-17T10:33:09Z |
| last_indexed |
2025-07-17T10:33:09Z |
| _version_ |
1837889896532934657 |