Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A KIND OF NORMALITY RELATED TO REGULAR ELEMENTS

  • Huang, Juan (Department of Mathematics, Yanbian University) ;
  • Piao, Zhelin (Department of Mathematics, Yanbian University)
  • Received : 2019.04.03
  • Accepted : 2019.06.04
  • Published : 2020.03.25
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Abstract

This article concerns a property of Abelain π-regular rings. A ring R shall be called right quasi-DR if for every a ∈ R there exists n ≥ 1 such that C(R)an ⊆ aR, where C(R) means the monoid of regular elements in R. The relations between the right quasi-DR property and near ring theoretic properties are investigated. We next show that the class of right quasi-DR rings is quite large.

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References

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