Kyungpook Mathematical Journal

  • 제46권2호
  • /
  • Pages.181-184
  • /
  • 2006
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On Partitioning Ideals of Semirings

  • 투고 : 2004.04.23
  • 발행 : 2006.06.23
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초록

We prove the following results: (1) Let R be a strongly euclidean semiring. Then an ideal A of $R_{n{\times}n}$ is a partitioning ideal if and only if it is a subtractive ideal. (2) A monic ideal M of R[$x$], where R is a strongly euclidean semiring, is a partitioning ideal if and only if it is a subtractive ideal.

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참고문헌

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