UNCOUNTABLY MANY DUALISABLE ALGEBRAS

作者:Pitkethly Jane G*
来源:International Journal of Algebra and Computation, 2011, 21(5): 825-839.
DOI:10.1142/S0218196711006534

摘要

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.

  • 出版日期2011-8