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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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| 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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Algebra and Discrete Mathematics| _version_ | 1856543280199630848 |
|---|---|
| author | Artemovych, O. D. |
| author_facet | Artemovych, O. D. |
| author_sort | Artemovych, O. D. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-15T05:12:44Z |
| 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 \(\mathbb{Z}_{p^n}\). |
| first_indexed | 2025-12-02T15:33:40Z |
| format | Article |
| id | admjournalluguniveduua-article-987 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:33:40Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | Semi-artinian ring differentially trivial ring 16W20 13N15 Artemovych, O. D. Differentially trivial and rigid right semi-artinian rings |
| title | 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_short | Differentially trivial and rigid right semi-artinian rings |
| title_sort | differentially trivial and rigid right semi-artinian rings |
| topic | Semi-artinian ring differentially trivial ring 16W20 13N15 |
| topic_facet | Semi-artinian ring differentially trivial ring 16W20 13N15 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/987 |
| work_keys_str_mv | AT artemovychod differentiallytrivialandrigidrightsemiartinianrings |