East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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SOME RESULTS ON A DIFFERENTIAL POLYNOMIAL RING OVER A REDUCED RING

  • Han, Jun-Cheol (Department of Computer Mathematics Kosin University) ;
  • Kim, Hong-Kee (Department of Mathematics Gyeongsang National University) ;
  • Lee, Yang (Department of Mathematics Education Pusan National University)
  • Published : 2000.06.25
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Abstract

In this paper, a differential polynomial ring $R[x;\delta]$ of ring R with a derivation $\delta$ are investigated as follows: For a reduced ring R, a ring R is Baer(resp. quasi-Baer, p.q.-Baer, p.p.-ring) if and only if the differential polynomial ring $R[x;\delta]$ is Baer(resp. quasi-Baer, p.q.-Baer, p.p.-ring).

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