East Asian mathematical journal

  • 제35권3호
  • /
  • Pages.277-283
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  • 2019
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  • 1226-6973(pISSN)
  • /
  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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A REMARK ON NILPOTENTS

  • Jin, Hai-lan (Department of Mathematics, Yanbian University) ;
  • Piao, Zhelin (Department of Mathematics, Yanbian University)
  • 투고 : 2019.01.06
  • 심사 : 2019.02.11
  • 발행 : 2019.05.31
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초록

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.

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참고문헌

  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