Reference : Pivotal decomposition schemes inducing clones of operations
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Pivotal decomposition schemes inducing clones of operations
Couceiro, Miguel []
Teheux, Bruno mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
In press
Contributions to Algebra and Geometry
[en] clone theory ; pivotal decomposition
[en] 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.

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