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Mono-unary algebras are strongly dualizable

Part of: Algebraic structures Other classes of algebra

Published online by Cambridge University Press:  09 April 2009

Jennifer Hyndman
Jennifer Hyndman
Affiliation:
Department of Mathematics and Computer Science, University of Northern British Columbia, Prince George BC V2N 4Z9, Canada e-mail: 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.

Keywords

strong dualitymono-unary algebras.

MSC classification

Secondary: 08A60: Unary algebras 08C15: Quasivarieties
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 72 , Issue 2 , April 2002 , pp. 161 - 172
Copyright
Copyright © Australian Mathematical Society 2002

References

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