OPERATOR DOMAINS ON FUZZY SUBGROUPS

  • Kim, Da-Sig (Department of Mathematics, Dongshin University)
  • Published : 2001.01.01

Abstract

The various fuzzy subgroups of a group which are admissible under operator domains are studied. In particular, the classes of all inner automorphisms, automorphisms, and endomorphisms are applied on the fuzzy subgroups of a group. As results, several theorems and examples concerning the fuzzy subgroups following from these kinds of operator domains are obtained. Moreover, we prove that a necessary condition for a fuzzy subgroup to be characteristic is that the center of the fuzzy subgroup is characteristic.

Keywords

References

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