충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제33권3호
  • /
  • Pages.327-337
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  • 2020
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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ON STRONGLY RIGHT 𝜋-DUO RINGS

  • 투고 : 2019.10.30
  • 심사 : 2020.06.09
  • 발행 : 2020.08.15
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초록

This article continues the study of right 𝜋-duo rings, concentrating on the situation of nonzero powers. For this purpose we introduce the concept of strongly right 𝜋-duo and examine the structure of strongly right 𝜋-duo in relation to various ring properties that play important roles in ring theory. It is proved for a strongly right 𝜋-duo ring R that if the upper (lower) nilradical of R is zero then R is reduced. Various kinds of examples are examined in relation to the questions raised in the procedure.

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참고문헌

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