Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지
DOI QR코드

DOI QR Code

WEAK INJECTIVITY IN THE CATEGORY OF NORMAL FUZZY HYPERGROUPS

  • Kim, Ig Sung (Department of Data Information, Sangji University)
  • Received : 2017.08.17
  • Accepted : 2017.12.19
  • Published : 2017.12.30
Download PDF
⟨ Previous Next ⟩

Abstract

Based on injectivity, we introduce some definitions in the category NFHG of normal fuzzy hypergroups. And we show that a complete normal fuzzy hypergroup is a weakly injective object in NFHG. Also we investigate weak injectivity in the comma category NFHG/K.

Keywords

References

  1. B. Banaschewski, Injectivity and modelling in the Blass topos, J. Pure and Applied Algebra 49 (1987), 1-10. https://doi.org/10.1016/0022-4049(87)90120-4
  2. F. Cagliari and S. Mantovani, Injective topological fibre spaces, Topology Appl. 125 (3) (2002), 525-532. https://doi.org/10.1016/S0166-8641(01)00297-8
  3. F. Cagliari and S. Mantovani, Injectivity and sections, J. Pure and Applied Algebra 204 (2006), 79-89. https://doi.org/10.1016/j.jpaa.2005.03.003
  4. R. Goldblatt, Topoi, North-Holland, 1984.
  5. F. Farsad and A. Mandanshekaf, Regular injectivity and exponentiablity in the slice categories of actions of pomonoid on posets, K.M.S (2015), 67-80.
  6. K. Sun, X. H. Yuan, and H. Li, Fuzzy hypergroups based on fuzzy relation, Comput. Math. Appl, (2010).