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Abstract
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In [H. Rashidi, A. Golchin and H. Mohammadzadeh saany, On GPW-flat acts, Categ.
Gen. Algebr. Struct. Appl. 12(1) (2020) 175–197], the study of GPW-flatness property
of right acts AS over a monoid S that can be described by means of when the functor
AS ⊗ S-preserves some pullbacks is initiated. In this paper, we extend these results to
S-posets and present equivalent description of GPW-po-flatness of S-posets. We show
that GPW-flatness does not imply torsion freeness in S-posets and give some general
properties and a characterization of pomonoids for which some other properties of their
posets imply this condition.
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