Differentially trivial and rigid right semi-artinian rings

• Datum: 2018
• 1. Verfasser: Artemovych, O. D.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Semi-artinian ring; differentially trivial ring; 16W20; 13N15
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/987
• Назва журналу: 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 \(\mathbb{Z}_{p^n}\).