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Subpullbacks and Po-flatness Properties of S-posets | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 8، دوره 25، شماره 4، اسفند 2014، صفحه 369-377 اصل مقاله (425.56 K) | ||
| نوع مقاله: Original Paper | ||
| نویسندگان | ||
| A. Golchin* ؛ L. Nouri | ||
| Department of Mathematics, Faculty of Sciences,University of Sistan and Baluchestan, Zahedan, Islamic Republic of Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Ordered monoid؛ S-poset؛ Subpullback diagram | ||
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