The existence of a near-unanimity term in a finite algebra is decidable

Publisher: Cambridge University Press

E-ISSN: 1943-5886|74|3|1001-1014

ISSN: 0022-4812

Source: The Journal of Symbolic Logic, Vol.74, Iss.3, 2009-09, pp. : 1001-1014

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Abstract

We prove that it is decidable of a finite algebra whether it has a near-unanimity term operation, which settles a ten-year-old problem. As a consequence, it is decidable of a finite algebra in a congruence distributive variety whether it admits a natural duality.