Pivotal decomposition schemes inducing clones of operations
Rings and Algebras
2017-01-17 v1 Logic
Abstract
We study pivotal decomposition schemes and investigate classes of pivotally decomposable operations. We provide sufficient conditions on pivotal operations that guarantee that the corresponding classes of pivotally decomposable operations are clones, and show that under certain assumptions these conditions are also necessary. In the latter case, the pivotal operation together with the constant operations generate the corresponding clone.
Keywords
Cite
@article{arxiv.1701.04192,
title = {Pivotal decomposition schemes inducing clones of operations},
author = {Miguel Couceiro and Bruno Teheux},
journal= {arXiv preprint arXiv:1701.04192},
year = {2017}
}