Journal of Sciences, Islamic Republic of Iran
Subpullbacks and Po-flatness Properties of S-posets
Document Type : Original Research Articles
Authors
Department of Mathematics, Faculty of Sciences,University of Sistan and Baluchestan, Zahedan, Islamic Republic of Iran
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.
Keywords
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