SOME GENERALIZATION OF SUBPULLBACK FLAT

Authors

  • Pouyan Khamechi Velayat University - Department of Mathematics
  • Leila Nouri University of Sistan and Baluchestan - Department of Mathematics
  • Hossein Mohammadzadeh Saany University of Sistan and Baluchestan - Department of Mathematics

Keywords:

S-poset, subpullback diagram, surjectivity, (weak) po-surjectivity, order embedding

Abstract

Bulman-Fleming et al. in [Pullbacks and flatness properties of acts II, Comm. Algebra, 29(2) (2001), 851-878] initiated the study of three flatness properties of right S-act AS that can be described by means of when the functor AS ⊗ − preserves certain types of pullbacks.  The present paper is extended these results to S-posets and is presented equivalences of them.  Moreover, we show that flatness properties of S-posets that mentioned in this paper and in [A. Golchin, L. Nouri, Subpullbacks and Po-flatness Properties of S-posets, J. Sci. Islam. Repub. Iran, 25(4) (2014), 369-377], can be transferred to their coproducts, and vice versa.

Cover of n°39 Italian Journal of Pure and Applied Mathematics

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Published

2018-02-28

How to Cite

Khamechi, P., Nouri, L., & Saany, H. M. (2018). SOME GENERALIZATION OF SUBPULLBACK FLAT. Italian Journal of Pure and Applied Mathematics, 39, 839–852. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6841

Issue

N°39 - February 2018

Section

Articoli - Forum Editrice

License

Copyright (c) 2018 Pouyan Khamechi, Leila Nouri, Hossein Mohammadzadeh Saany

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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