A SPECIFICATION OF CYCLIC GROUPS OF SQUARE FREE ORDER IN TERMS OF L-FUZZY SUBGROUPS

Groups which posses a L-fuzzy subgroup ¹, where L is a meet semi lattice satisfying the condition (1): ¹(x) · ¹(y) implies hxi ¶ hyi are determined. It is shown that in the class of all groups, cyclic groups of square free order are the only groups which possess a particular type of L-fuzzy subgroup in which Im¹ is a finite Boolean lattice.