Armenian Journal of Mathematics, 8(2)
2016; 96–103
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Principal filters of some ordered Γ -semigroups

Niovi Kehayopulu*, Michael Tsingelis

Received: 2024-12-18 · Published: 2016-12-22

© 2016 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
2016-12-22
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 duo ordered ΓΓ-semigroup MM, we describe the principal filter of MM which plays an essential role in the structure of this type of popo-ΓΓ-semigroups. We also prove that an ordered ΓΓ-semigroup MM is intra-regular if and only if the ideals of MM are semiprime and it is left (right) regular and left (right) duo if and only if the left (right) ideals of MM are semiprime.
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