Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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NILPOTENT-DUO PROPERTY ON POWERS

  • Kim, Dong Hwa (Department of Mathematics Education Pusan National University)
  • Received : 2017.11.13
  • Accepted : 2018.02.01
  • Published : 2018.10.31
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Abstract

We study the structure of a generalization of right nilpotent-duo rings in relation with powers of elements. Such a ring property is said to be weakly right nilpotent-duo. We find connections between weakly right nilpotent-duo and weakly right duo rings, in several algebraic situations which have roles in ring theory. We also observe properties of weakly right nilpotent-duo rings in relation with their subrings and extensions.

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References

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