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Pages 1539-1553
Received 08 Jul 2016
Accepted author version posted online: 14 Jul 2017
Published online: 01 Sep 2017
 
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We show that every finite affine algebra A admits a full duality. In the process, we prove that A also allows a strong duality, and that the duality may be induced by a dualizing structure A of finite type. We give an explicit bound on the arities of the partial and total operations appearing in A. In addition, we show that the enriched partial hom-clone of A is finitely generated as a clone.

KEYWORDS: Abelian algebraaffine algebradualizable algebranatural dualitystrong duality
2010 MATHEMATICS SUBJECT CLASSIFICATION: 08C2008B10
 
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