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A REMARK ON NILPOTENTS

  • Jin, Hai-lan (Department of Mathematics, Yanbian University) ;
  • Piao, Zhelin (Department of Mathematics, Yanbian University)
  • Received : 2019.01.06
  • Accepted : 2019.02.11
  • Published : 2019.05.31

Abstract

In this article we show that direct limits do not preserve the property that the Wedderburn radical contains all nilpotents, comparing the fact that the NI property is preserved by direct limits.

Keywords

References

  1. S.U. Hwang, Y.C. Jeon, Y. Lee, Structure and topological conditions of NI rings, J. Algebra 302 (2006), 186-199. https://doi.org/10.1016/j.jalgebra.2006.02.032
  2. G. Marks, On 2-primal Ore extensions, Comm. Algebra 29 (2001), 2113-2123. https://doi.org/10.1081/AGB-100002173