Geodesic
$\pi$-inverse ordered semigroups
Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 1, pp. 5-13

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This article deals with the generalization of π-inverse semigroups without order to ordered semigroups. Here we characterize π-inverse ordered semigroups by their ordered idempotents and bi-ideals.
Keywords: bi-ideals, ordered idempotent, $\pi$-regular, $\pi$-inverse, inverse 
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Jamadar, Amlan. $\pi$-inverse ordered semigroups. Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 1, pp. 5-13. http://geodesic.mathdoc.fr/item/DMGAA_2024_44_1_a0/