Differentially trivial and rigid right semi-artinian rings

• Date: 2018
• Main Author: Artemovych, O. D.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Semi-artinian ring; differentially trivial ring; 16W20; 13N15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/987
• Journal Title: Algebra and Discrete Mathematics

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 \(\mathbb{Z}_{p^n}\).