University of Jiroft | hamidieh rashidi

Research

Title	On a generalization of principal weak (po-)flatness of S-posets
Type	Article
Keywords	GPW-flat; GPW-po-flat; eventually left almost regular pomonoid.
Researchers	hamidieh rashidi, akbar golchin, hossein mohammadzadeh saany

Abstract

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.