Rings whose non-zero derivations have finite kernels

Array

Authors

  • O.D. Artemovych Cracow University of Technology, 24 Warsaw str., 31-155 Cracow, Poland

Keywords:

derivation, differentially trivial ring

Abstract

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

Downloads

Published

2011-12-29

How to Cite

(1)
Artemovych, O. Rings Whose Non-Zero Derivations Have Finite Kernels: Array. Carpathian Math. Publ. 2011, 3, 13–17.

Issue

Section

Scientific articles