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Strong and full dualisability: three-element unary algebras

Part of: Other classes of algebra Algebraic structures General theory of categories and functors

Published online by Cambridge University Press:  09 April 2009

J. G. Pitkethly
J. G. Pitkethly
Affiliation:
La Trobe University, Victoria 3086, Australia e-mail: janegp@alphalink.com.au
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Abstract

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We characterise the strongly dualisable three-element unary algebras and show that every fully dualisable three-element unary algebra is strongly dualisable. It follows from the characterisation that, for dualisable three-element unary algebras, strong dualisability is equivalent to a weak form of injectivity.

Keywords

natural dualitystrong dualityfull dualityunary algebras

MSC classification

Secondary: 08C15: Quasivarieties 08A60: Unary algebras 18A40: Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 73 , Issue 2 , October 2002 , pp. 187 - 220
Copyright
Copyright © Australian Mathematical Society 2002

References

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