Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Some properties ofTL-groups

  • 22 Accesses

Abstract

We introduce the notion ofTL-p-subgroups that is an extension of the notion of fuzzyp-subgroups and show that a torsionTL-subgroup of an Abelian group withT = Λ can be written as the intersection of its minimalTL-p-subgroups.

This is a preview of subscription content, log in to check access.

References

  1. 1.

    J.-G. Kim,Fuzzy orders relative to fuzzy subgroups, Inform. Sci. 80 (1994), 341–348.

  2. 2.

    J.-G. Kim,Fuzzy subgroups and minimal fuzzy p-subgroups, J. Fuzzy Math. 2 (1994), 913–921.

  3. 3.

    J.-G. Kim,Fuzzy subgroups having the property (*), Inform. Sci. 80(1994), 235–241.

  4. 4.

    J.-G. Kim,Fuzzy subgroups having the property (*)II, Fuzzy Sets and Systems 64(1994), 245–248.

  5. 5.

    J.-G. Kim,Fuzzy subgroups of finite groups and Abelian groups, Math. Japon. 39 (1994), 347–360.

  6. 6.

    J.-G. Kim,On fuzzy orders of elements of fuzzy subgroups, J. Kyungsung Univ. 13 (1992), 251–257.

  7. 7.

    J.-G. Kim,Orders of fuzzy subgroups and fuzzy p-subgroups, Fuzzy Sets and Systems 61 (1994), 225–230.

  8. 8.

    J.-G. Kim and H.-D. Kim,A characterization of fuzzy subgroups of some Abelian groups, Inform. Sci. 80 (1994), 243–252.

  9. 9.

    J.-G. Kim and H.-D. Kim,Orders relative to TL-subgroups, Math. Japon. 46 (1997), 163–168.

  10. 10.

    S. Ray,Generated and cyclic fuzzy groups, Inform. Sci. 69 (1993), 185–200.

  11. 11.

    A. Rosenfeld,Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512–517.

  12. 12.

    B. Schweizer and A. Sklar,Statistical metric spaces, Pacific J. Math. 10 (1950), 313–334.

  13. 13.

    Y. Yu, J.N. Mordeson and S.-C. Cheng,Elements of L-algebra, Lecture Notes in Fuzzy Math. and Computer Science, Creighton Univ., Omaha, 1994.

  14. 14.

    L.A. Zadeh,Fuzzy sets, Inform. Control 8(1965), 338–365.

Download references

Author information

Correspondence to Jae -Gyeom Kim.

Additional information

This work was supported by LG Yonam Foundation.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Kim, J.-. Some properties ofTL-groups. Korean J. Comput. & Appl. Math. 5, 243–250 (1998). https://doi.org/10.1007/BF03008910

Download citation

AMS Mathematics Subject Classification

  • 20N25

Key words and phrases

  • TL-subgroup
  • TL-p-subgroup