SUBPULLBACKS AND FLATNESS PROPERTIES OF S-POSETS

摘要

In [5, pp. 829-850] study was initiated of flatness properties of right acts AS over a monoid S that can be described in terms when the functor A(S)circle times-preserves pullbacks. In that article, familiar flatness properties emerged in a new light, and new properties such as (PWP) and (WP) were discovered. In this article, we extend these results to S-posets. Also we introduce Conditions (WP)(w) (PWP)(w) and consider the relation between them and Conditions (WP), (PWP), and po-flatness.