Finitely generated maximal partial clones and their intersections
Rings and Algebras
2009-11-03 v1
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.
Keywords
Cite
@article{arxiv.0911.0030,
title = {Finitely generated maximal partial clones and their intersections},
author = {Miguel Couceiro and Lucien Haddad},
journal= {arXiv preprint arXiv:0911.0030},
year = {2009}
}