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arXiv · 0911.0030

Finitely generated maximal partial clones and their intersections

Miguel Couceiro·Lucien Haddad
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Abstract

Let A be a finite non-singleton set. For |A|=2 we show that the partial clone consisting of all selfdual monotone partial functions on A is not finitely generated, while it is the intersection of two finitely generated maximal partial clones on A. Moreover for |A| >= 3 we show that there are pairs of finitely generated maximal partial clones whose intersection is a non-finitely generated partial clone on A.

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Miguel Couceiro, Lucien Haddad. 2009-10-30. Finitely generated maximal partial clones and their intersections. https://arxiv.org/abs/0911.0030

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