Algebra universalis

, Volume 57, Issue 2, pp 215–237

On the (un)decidability of a near-unanimity term


DOI: 10.1007/s00012-007-2037-x

Cite this article as:
Maróti, M. Algebra univers. (2007) 57: 215. doi:10.1007/s00012-007-2037-x


We investigate the near-unanimity problem: given a finite algebra, decide if it has a near-unanimity term of finite arity. We prove that it is undecidable of a finite algebra if it has a partial near-unanimity term on its underlying set excluding two fixed elements. On the other hand, based on Rosenberg’s characterization of maximal clones, we present partial results towards proving the decidability of the general problem.

2000 Mathematics Subject Classification:

primary 08A40 secondary 08A55, 08A05 

Keywords and phrases:

decidability near-unanimity natural duality 

Copyright information

© Birkhaueser 2007

Authors and Affiliations

  1. 1.Bolyai InstituteUniversity of SzegedSzegedHungary

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