سعید رسولی

The set of minimal prime filters of a residuated lattice is endowed with the hull-kernel topology. It is shown that the space of minimal prime filters of a residuated lattice is a totally disconnected Hausdorff space. Moreover, it is proved that for a residuated lattice A, the space of minimal prime filters of A, namely Min(A), is a Boolean space if and only if A is a quasicomplemented residuated lattice. Finally, we show that for any finite residuated lattice A, Min(A) is a Boolean space.