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    Author(s)

    Niovi Kehayopulu, PhD. Michael Tsingelis — Academia (Universities, Colleges and other higher learning entities) (Hellenic Open University School of Science and Technology Studies in Natural Sciences, Greece)
    Category: Mathematics
    DOI: https://armjmath.sci.am/index.php/ajm/article/view/127
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      Principal filters of some ordered Γ -semigroups

      Niovi Kehayopulu, PhD. Michael Tsingelis — Academia (Universities, Colleges and other higher learning entities) (Hellenic Open University School of Science and Technology Studies in Natural Sciences, Greece)
      This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

      Submitted: 2024-12-18; Published: 2022-12-22
      © 2025 by author(s) and The Gufo Inc.
      CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

      Abstract

      For an intra-regular or a left regular and left duoordered Γ-semigroupM, we describe the principal filter ofMwhich plays an essential role in the structure of this type ofpo-Γ-semigroups. We also prove that an ordered Γ-semigroupMisintra-regular if and only if the ideals ofMare semiprime and itis left (right) regular and left (right) duo if and only if the left(right) ideals ofMare semiprime.

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