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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Bibliographic Details
Date:2018
Main Author: Artemovych, O. D.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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