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 |