Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Pure Ideals in Ordered Semigroups

  • Received : 2012.06.29
  • Accepted : 2012.09.17
  • Published : 2014.03.23
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Abstract

In this paper the concepts of pure ideals, weakly pure ideals and purely prime ideals in ordered semigroups are introduced. We obtain some characterizations of pure ideals and prove that the set of all pure prime ideals is topologized.

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References

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Cited by

  1. An investigation on ordered algebraic hyperstructures vol.33, pp.8, 2017, https://doi.org/10.1007/s10114-017-6093-7