대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제33권1호
  • /
  • Pages.1-12
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  • 2018
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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CHARACTERIZATIONS OF ORDERED INTRA k-REGULAR SEMIRINGS BY ORDERED k-IDEALS

  • 투고 : 2016.12.21
  • 심사 : 2017.11.21
  • 발행 : 2018.01.31
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초록

We introduce the notion of ordered intra k-regular semirings, characterize them using their ordered k-ideals and prove that an ordered semiring S is both ordered k-regular and ordered intra k-regular if and only if every ordered quasi k-ideal or every ordered k-bi-ideal of S is ordered k-idempotent.

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참고문헌

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