Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SUMS OF TRIPOTENT AND NILPOTENT MATRICES

  • Received : 2017.04.27
  • Accepted : 2017.09.14
  • Published : 2018.05.31
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Abstract

Let R be a 2-primal strongly 2-nil-clean ring. We prove that every square matrix over R is the sum of a tripotent and a nilpotent matrices. The similar result for rings of bounded index is proved. We thereby provide a large class of rings over which every matrix is the sum of a tripotent and a nilpotent matrices.

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References

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