Prime Bi-Ideals in Ordered Ternary Semigroups

Sanborisoot, Jatuporn

doi:10.28924/2291-8639-24-2026-292

Research Article

Prime Bi-Ideals in Ordered Ternary Semigroups

Jatuporn Sanborisoot

Abstract

In this work, we introduce the concepts of prime, semiprime, strongly prime irreducible, and strongly irreducible bi-ideals of ordered ternary semigroups. We characterize those ordered ternary semigroups for which every bi-ideal is strongly prime. We also prove that the space of all strongly prime bi-ideals forms a topological space.

How to Cite

J. Sanborisoot, Prime Bi-Ideals in Ordered Ternary Semigroups, Int. J. Anal. Appl. 24 (2026), 292. https://doi.org/10.28924/2291-8639-24-2026-292

BibTeX

@article{Sanborisoot2026,
  author  = {Sanborisoot, Jatuporn},
  title   = {Prime Bi-Ideals in Ordered Ternary Semigroups},
  journal = {Int. J. Anal. Appl.},
  volume  = {24},
  year    = {2026},
  pages   = {292},
  doi     = {10.28924/2291-8639-24-2026-292}
}

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