Armenian Journal of Mathematics, 8(2)
2022; 96–103
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Principal filters of some ordered Γ -semigroups

Niovi Kehayopulu*, Michael Tsingelis

Received: 2024-12-18 · Published: 2022-12-22

© 2022 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Principal filters of some ordered Γ -semigroups
Authors
Niovi Kehayopulu, Michael Tsingelis
Source journal
Armenian Journal of Mathematics, 8(2)
Published
2022-12-22
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/127

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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