Kyungpook Mathematical Journal

  • 제56권3호
  • /
  • Pages.727-735
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  • 2016
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Strongly Prime Ideals and Primal Ideals in Posets

  • 투고 : 2015.07.23
  • 심사 : 2016.04.07
  • 발행 : 2016.09.23
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초록

In this paper, we study and establish some interesting results of ideals in a poset. It is shown that for a nonzero ideal I of a poset P, there are at most two strongly prime ideals of P that are minimal over I. Also, we study the notion of primal ideals in a poset and the relationship among the primal ideals and strongly prime ideals is considered.

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참고문헌

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