Rings whose non-zero derivations have finite kernels

  • O.D. Artemovych Cracow University of Technology, 24 Warsaw str., 31-155 Cracow, Poland
Keywords: derivation, differentially trivial ring
Published online: 2011-12-29


We prove that every infinite ring $R$ is either differentially trivial or has a non-zero derivation $d$ with an infinite kernel $\mathrm{Ker}\ d$.

How to Cite
Artemovych O. Rings Whose Non-Zero Derivations Have Finite Kernels. Carpathian Math. Publ. 2011, 3 (2), 13–17.