International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Purities of Ordered Ideals in Ordered Ternary Semirings

  • Jatuporn Sanborisoot*
  • Pakorn Palakawong na Ayutthaya

    * Corresponding author

    Abstract

    We introduce the notions of left pure, lateral pure, right pure and quasi-pure ordered ideals of ordered ternary semirings and characterize several regularity conditions on ordered ternary semirings using the purities of their ordered ideals.

    How to Cite

    J. Sanborisoot, P. Palakawong na Ayutthaya, Purities of Ordered Ideals in Ordered Ternary Semirings, Int. J. Anal. Appl. 24 (2026), 307. https://doi.org/10.28924/2291-8639-24-2026-307

    BibTeX
    @article{Sanborisoot2026,
      author  = {Sanborisoot, Jatuporn and Palakawong na Ayutthaya, Pakorn},
      title   = {Purities of Ordered Ideals in Ordered Ternary Semirings},
      journal = {Int. J. Anal. Appl.},
      volume  = {24},
      year    = {2026},
      pages   = {307},
      doi     = {10.28924/2291-8639-24-2026-307}
    }

    References

    • [1] T. Changphas, J. Sanborisoot, Pure Ideals in Ordered Semigroups, Kyungpook Math. J. 54 (2014), 123–129. https://doi.org/10.5666/KMJ.2014.54.1.123.
    • [2] J. Daengsaen, S. Leeratanavalee, B. Davvaz, On Minimal and Maximal Hyperidealsin N-Ary Semihypergroups, Mathematics 8 (2020), 1656. https://doi.org/10.3390/math8101656.
    • [3] P.P.N. Ayutthaya, B. Pibaljommee, Purities of Ordered Ideals of Ordered Semirings, Kyungpook Math. J. 60 (2020), 455–465. https://doi.org/10.5666/KMJ.2020.60.3.455.
    • [4] Patchara Pornsurat, Pakorn Palakawong Na Ayutthaya, Bundit Pibaljommee, Linear Inequations with 5-Digit and Regularity Conditionson Ordered Ternary Semigroups, Songklanakarin J. Sci. Technol. 43 (2021), 1550–1555. https://doi.org/10.14456/sjst-psu.2021.202.
    • [5] J. Sanborisoot, T. Changphas, On Pure Ideals in Ordered Ternary Semigroups, Thai J. Math. 12 (2014), 455–464.
    • [6] J. Sanborisoot, On Pure Fuzzy Ideals in Ordered Ternary Semigroups, ICIC Express Lett. 16 (2022), 1279–1286.