J. Austral. Math. Soc.
72 (2002), 161-172
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Mono-unary algebras are strongly dualizable
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Jennifer Hyndman
Department of Mathematics and Computer Science
University of Northern British Columbia
Prince George BC V2N 4Z9
Canada
hyndman@unbc.ca
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Abstract
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We show that mono-unary algebras have rank at
most two and are thus strongly dualizable. We
provide an example of a strong duality for a
mono-unary algebra using an alter ego with
(partial) operations of arity at most two. This
mono-unary algebra has rank two and generates the
same quasivariety as an injective, hence rank
one, mono-unary algebra.
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