Abstract
Given a full duality based on a finite algebra M, we show how to create a full duality based on any other finite algebra N for which \({\mathbb{ISP}({\bf M}) = \mathbb{ISP}({\bf N})}\). So the full dualisability of a quasivariety is independent of the algebra chosen as the generator. We obtain this result by proving the corresponding result for multisorted full dualities.
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