J. Austral. Math. Soc.
72 (2002), 161172

Monounary algebras are strongly dualizable

Jennifer Hyndman
Department of Mathematics and Computer Science
University of Northern British Columbia
Prince George BC V2N 4Z9
Canada
hyndman@unbc.ca



Abstract

We show that monounary algebras have rank at
most two and are thus strongly dualizable. We
provide an example of a strong duality for a
monounary algebra using an alter ego with
(partial) operations of arity at most two. This
monounary algebra has rank two and generates the
same quasivariety as an injective, hence rank
one, monounary algebra.

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