Differentially trivial and rigid right semi-artinian rings

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Author: Artemovych, O.D.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156410
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Differentially trivial and rigid right semi-artinian rings / O.D. Artemovych // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 17–22. — Бібліогр.: 13 назв. — англ.

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 Zpn .