subpullbacks and po-flatness properties of s-posets

Authors

a. golchin

l. nouri

abstract

in (golchin a. and rezaei p., subpullbacks and flatness properties of s-posets. comm. algebra. 37: 1995-2007 (2009)) study was initiated of flatness properties of right -posets  over a pomonoid  that can be described by surjectivity of  corresponding to certain (sub)pullback diagrams and new properties such as  and  were discovered. in this article first of all we describe po-flatness properties of -posets over pomonoids by po-surjectivity of  corresponding to certain subpullback diagrams. then we introduce three new conditions ,  and  and investigate the relation between them and conditions , , , ,  and . also we describe these properties by po-surjectivity of  corresponding to certain subpullback diag in (golchin a. and rezaei p., subpullbacks and flatness properties of s-posets. comm. algebra. 37: 1995-2007 (2009)) study was initiated of flatness properties of right -posets  over a pomonoid  that can be described by surjectivity of  corresponding to certain (sub)pullback diagrams and new properties such as  and  were discovered. in this article first of all we describe po-flatness properties of -posets over pomonoids by po-surjectivity of  corresponding to certain subpullback diagrams. then we introduce three new conditions ,  and  and investigate the relation between them and conditions , , , ,  and . also we describe these properties by po-surjectivity of  corresponding to certain subpullback diagrams and describe conditions ,  and  by weak po-surjectivity of  corresponding to certain subpullback diagrams. rams and describe conditions ,  and  by weak po-surjectivity of  corresponding to certain subpullback diagrams.

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Journal title:
journal of sciences, islamic republic of iran

Publisher: university of tehran

ISSN 1016-1104

volume 25

issue 4 2014

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