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Algebra and Discrete Mathematics, 2004, Issue 2, Pages 17–22 (Mi adm335)  
RESEARCH ARTICLE

Differentially trivial and rigid right semi-artinian rings

O. D. Artemovych

Department of Algebra and Logic, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 1 University St, Lviv 79000 UKRAINE
Full-text PDF (195 kB)
Abstract: 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 $\Bbb Z_{p^n}$.
Keywords: Semi-artinian ring, differentially trivial ring.
Received: 08.04.2004
Revised: 01.06.2004
Bibliographic databases:
Document Type: Article
MSC: 16W20, 13N15
Language: English
Citation: O. D. Artemovych, “Differentially trivial and rigid right semi-artinian rings”, Algebra Discrete Math., 2004, no. 2, 17–22
Citation in format AMSBIB
\Bibitem{Art04}
\by O.~D.~Artemovych
\paper Differentially trivial and rigid right semi-artinian rings
\jour Algebra Discrete Math.
\yr 2004
\issue 2
\pages 17--22
\mathnet{http://mi.mathnet.ru/adm335}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2146596}
\zmath{https://zbmath.org/?q=an:1067.16059}
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