Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지

ON THE INJECTIVITY OF THE WEAK TOPOS FUZ

  • Received : 2009.03.13
  • Published : 20090600
Download PDF
⟨ Previous Next ⟩

Abstract

Category Fuz of fuzzy sets has a similar function to the Category Set. We study injective, absolute retract, enough injectives, injective hulls and essential extension in the Category Fuz of fuzzy sets.

Keywords

Acknowledgement

Supported by : Sangji University

References

  1. B. Banaschwski, On the injectivity of Boolean algebra, Seminar of the Categorical Topology Research Group at the Univ. of Cape Town (1990).
  2. B. Banaschwski, M. M. Ebrahimi and M. Mahmoudi, On the normal completion of a Boolean algebra, J. of pure and applied algebra 181 (2003).
  3. M. M. Ebrahimi, Internal Completeness and Injectivity of Boolean Algebras in the Topos of M-Sets, Bull. Austral. Math. Soc. 41 (1990).
  4. R. Goldblatt, Topoi, North-Holland (1984).
  5. P. T. Johnstone, Topos Theory, Academic Press, N. Y. (1977).
  6. X. Yuan and E. S. Lee, Category Fuz, Wtopos and Category FuzFuz, J. of Math. Anal. and Appl. 201 (1996), 489-501. https://doi.org/10.1006/jmaa.1996.0269
  7. X. Yuan, H. Li and E. S. Lee, Categories of fuzzy sets and weak topos, Fuzzy Sets and Systems 127 (2002), 291-297. https://doi.org/10.1016/S0165-0114(01)00119-1