REAL

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

Maróti, Miklós (2007) On the (un)decidability of a near-unanimity term. Algebra Universalis, 57 (2). pp. 215-237. ISSN 0002-5240

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Abstract

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.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Depositing User: Erika Bilicsi
Date Deposited: 04 Apr 2013 09:51
Last Modified: 04 Apr 2013 09:51
URI: http://real.mtak.hu/id/eprint/4592

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