Subpullbacks and Po-flatness Properties of S-posets

نویسندگان

  • A. Golchin Department of Mathematics, Faculty of Sciences,University of Sistan and Baluchestan, Zahedan, Islamic Republic of Iran
  • L. Nouri Department of Mathematics, Faculty of Sciences,University of Sistan and Baluchestan, Zahedan, Islamic Republic of Iran
چکیده مقاله:

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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subpullbacks and po-flatness properties of s-posets

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عنوان ژورنال

دوره 25  شماره 4

صفحات  369- 377

تاریخ انتشار 2014-12-01

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