Pure Ideals on Ordered Power Ternary Semigroups on Ternary Semihypergroups Induced by Posets

Authors

  • Anak Nongmanee Suratthani Rajabhat University
  • Kanruethai Jeenkaew Chiang Mai University
  • Maliwan Phattarachaleekul Mahasarakham University, Thailand

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6395

Keywords:

ternary semigroups, ternary semihypergroups, pure ideals, power order sets

Abstract

This article is devoted to the investigation of some algebraic connections between algebraic structures and algebraic hyperstructures. Firstly, we introduce the concept of ordered power ternary semigroups on ternary semihypergroups induced by posets which are generalizations of power ternary semigroups on ternary semihypergroups. Then, the ideas of ideals and pure ideals in ordered power ternary semigroups on ternary semihypergroups induced by posets are introduced. We also study some algebraic properties of pure ideals and weakly pure ideals on the ordered ternary semigroups.

Author Biographies

  • Anak Nongmanee, Suratthani Rajabhat University

    Education Program in Mathematics, Faculty of Education, Suratthani Rajabhat University, Suratthani  84100, Thailand

  • Kanruethai Jeenkaew, Chiang Mai University

    Department of Mathematics, Faculty of science, Chiang Mai University, Chiang Mai 50200, Thailand

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Algebra

License

Copyright (c) 2025 Anak Nongmanee, Kanruethai Jeenkaew, Maliwan Phattarachaleekul

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How to Cite

Pure Ideals on Ordered Power Ternary Semigroups on Ternary Semihypergroups Induced by Posets. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6395. https://doi.org/10.29020/nybg.ejpam.v18i3.6395