대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제33권4호
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  • Pages.1103-1112
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  • 2018
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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NILPOTENT-DUO PROPERTY ON POWERS

  • Kim, Dong Hwa (Department of Mathematics Education Pusan National University)
  • 투고 : 2017.11.13
  • 심사 : 2018.02.01
  • 발행 : 2018.10.31
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초록

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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참고문헌

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