Abstract
We consider pomonoids \(S=G\;\dot{\cup}\;I\) , where G is a pogroup and I is a poideal of S and show that if an S-poset is principally weakly flat, (weakly) flat, po-flat, (principally) weakly po-flat, (po-) torsion free or satisfies Conditions (P), (P E ), (P w ), (PWP), (PWP) w , (WP) or (WP) w as an I 1-poset, then it has these properties as an S-poset. We also show that an S-poset which is free, projective or strongly flat as an I 1-poset may not generally have these properties as an S-poset.
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Communicated by Steve Pride.