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Abstract
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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.
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