Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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RINGS WHOSE ELEMENTS ARE SUMS OF FOUR COMMUTING IDEMPOTENTS

  • Received : 2018.10.17
  • Accepted : 2018.12.29
  • Published : 2019.06.25
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Abstract

We completely characterize the isomorphic class of those associative unitary rings whose elements are sums of four commuting idempotents. Our main theorem enlarges results due to Hirano-Tominaga (Bull. Austral. Math. Soc., 1988), Tang et al. (Lin. & Multilin. Algebra, 2019), Ying et al. (Can. Math. Bull., 2016) as well as results due to the author in (Alban. J. Math., 2018), (Gulf J. Math., 2018), (Bull. Iran. Math. Soc., 2018) and (Boll. Un. Mat. Ital., 2019).

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References

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