Differentially trivial and rigid right semi-artinian rings
Algebra and discrete mathematics, no. 2 (2004), pp. 17-22
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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.
@article{ADM_2004_2_a3,
author = {O. D. Artemovych},
title = {Differentially trivial and rigid right semi-artinian rings},
journal = {Algebra and discrete mathematics},
pages = {17--22},
year = {2004},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2004_2_a3/}
}
O. D. Artemovych. Differentially trivial and rigid right semi-artinian rings. Algebra and discrete mathematics, no. 2 (2004), pp. 17-22. http://geodesic.mathdoc.fr/item/ADM_2004_2_a3/