Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ANTI-HYBRID INTERIOR IDEALS IN ORDERED SEMIGROUPS

  • LINESAWAT, KRITTIKA (Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus) ;
  • LEKKOKSUNG, SOMSAK (Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus) ;
  • LEKKOKSUNG, NAREUPANAT (Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus)
  • Received : 2021.10.26
  • Accepted : 2022.01.24
  • Published : 2022.05.30
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Abstract

The main theme of this present paper is to study ordered semigroups in the context of anti-hybrid interior ideals. The notion of anti-hybrid interior ideals in ordered semigroups is introduced. We prove that the concepts of ideals and interior coincide in some particular classes of ordered semigroups; regular, intra-regular, and semisimple. Finally, the characterization of semisimple ordered semigroups in terms of anti-hybrid interior ideals is considered.

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References

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