Affiliation:
1. Department of Mathematics and Statistics, La Trobe University, Victoria 3086, Australia
Abstract
Fix a finite set M with at least three elements. We find uncountably many different clones on M, each of which is the clone of term functions of a strongly dualisable algebra. This provides a solution to the Finite Type Problem of natural duality theory: there are finite algebras that are dualisable but not via a structure of finite type.
Publisher
World Scientific Pub Co Pte Lt
Cited by
2 articles.
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1. A juggler’s dozen of easy† problems;Algebra universalis;2015-06-21
2. Dualizability of automatic algebras;Journal of Pure and Applied Algebra;2014-07