Inherent dualisability Original Research Article

Beginning from any finite unary algebra with at least two fundamental operations, there is an infinite ascending chain of finite algebras that are alternately dualisable and non-dualisable. We obtain this result while characterising the finite algebras that can be embedded into a non-dualisable algebra. As an aside, we give an example of a non-dualisable algebra that can be constructed by adding a constant operation to a dualisable algebra.