Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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RINGS IN WHICH EVERY ELEMENT IS A SUM OF A NILPOTENT AND THREE TRIPOTENTS

  • Cui, Jian (Department of Mathematics Anhui Normal University) ;
  • Xia, Guoli (Department of Mathematics and Statistics Memorial University of Newfoundland)
  • Received : 2019.12.05
  • Accepted : 2020.09.23
  • Published : 2021.01.31
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Abstract

In this article, we completely determine the rings for which every element is a sum of a nilpotent and three tripotents that commute with one another. We discuss this property for some extensions of rings, including group rings.

Keywords

References

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