Some types of n-fold filters on residuated lattices

n-fold left (right) Boolean and MV filters in residuated lattices are introduced and investigated some their properties. Several characterizations of n-fold left (right) Boolean and MV filters are derived. The relations between n-fold left (right) Boolean filters and n-fold left (right) MV filters are investigated and we show that a normal n-fold left (right) Boolean filter is a normal n-fold left (right) MV filter.