Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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(WEAK) IMPLICATIVE HYPER K-IDEALS

  • Saeid, A.Borumand (Department of Mathematics, Islamic Azad University) ;
  • Borzooei, R.A. (Department of Mathematics, Sistan And Baluchestan University) ;
  • Zahedi, M.M. (Department of Mathematics, Shahid Bahonar University)
  • Published : 2003.02.01
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Abstract

In this note first we define the notions of weak implicative and implicative hyper K-ideals of a hyper K-algebra H. Then we state and prove some theorems which determine the relationship between these notions and (weak) hyper K-ideals. Also we give some relations between these notions and all types of positive implicative hyper K-ideals. Finally we classify the implicative hyper K-ideals of a hyper K-algebra of order 3.

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References

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  12. Sci. Math. v.3 no.1 Some results on hyper K-algebra M. M. Zahedi;R. A. Borzooei;Y. B. Jun;A. Hasankhani

Cited by

  1. Strong implicative hyperK-ideals vol.2006, 2006, https://doi.org/10.1155/IJMMS/2006/86316
  2. Implicative hyper K-algebras vol.55, pp.2, 2005, https://doi.org/10.1007/s10587-005-0034-9
  3. HYPER K-SUBALGEBRAS BASED ON FUZZY POINTS vol.26, pp.3, 2011, https://doi.org/10.4134/CKMS.2011.26.3.385
  4. A NEW TYPE OF HYPER K-SUBALGEBRAS vol.28, pp.4, 2013, https://doi.org/10.4134/CKMS.2013.28.4.679