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Hybrid Interior Ideals in Ordered Semigroups

Author

Listed:
  • K. Porselvi

    (Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu 641 114, India)

  • B. Elavarasan

    (Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu 641 114, India)

  • Y. B. Jun

    (Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea)

Abstract

We are fully aware that an ordered semigroup has a very close relation with theoretical computer science, especially with the theory of pattern recognition, decision processes, artificial intelligence, information retrieval and so on. We are eager to introduce the new concepts of hybrid interior ideals and hybrid simple in an ordered semigroup in this paper. We discuss characteristic hybrid structures using ideals and interior ideals, and characterize ordered semigroup in terms of different hybrid ideal structures. Further, we establish the equivalent condition for an ordered semigroup to be simple.

Suggested Citation

  • K. Porselvi & B. Elavarasan & Y. B. Jun, 2022. "Hybrid Interior Ideals in Ordered Semigroups," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 1-8, March.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:01:n:s1793005722500016
    DOI: 10.1142/S1793005722500016
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