Abstract
The notion of implication Z_$MP$_Z-filters (briefly, Z_$IMP$_Z-filters) in Z_$R_0$_Z-algebras is introduced. The characteristic properties and extension property of Z_$IMP$_Z-filters are obtained. The relations among Z_$IMP$_Z-filters, Z_$PIMP$_Z-filters and Z_$NMP$_Z-filters of Z_$R_0$_Z-algebras are established. Finally, the implicative Z_$R_0$_Z-algebra is completely described by its Z_$IMP$_Z-filters.