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Subpullbacks and Flatness Properties of S-Posets
Authors:Akbar Golchin  Parisa Rezaei
Institution:1. Department of Mathematics , University of Sistan and Baluchestan , Zahedan , Iran agdm@math.usb.ac.ir;3. Department of Mathematics , University of Sistan and Baluchestan , Zahedan , Iran
Abstract:In 5 Laan , V. ( 2001 ). Pullbacks and flatness proprties of acts I . Comm. Algebra. 29 ( 2 ): 829850 .Taylor &; Francis Online], Web of Science ®] Google Scholar], pp. 829–850] study was initiated of flatness properties of right acts A S over a monoid S that can be described in terms when the functor A S ?-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 and (PWP) w and consider the relation between them and Conditions (WP), (PWP), and po-flatness.
Keywords:Condition (PWP)  Condition (WP)  S-poset  Subpullback diagram
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