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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