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.
Type de document :
Article dans une revue
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Springer Verlag, 2018, 59 (1), pp.25-40
https://hal.inria.fr/hal-01450835
Contributeur : Miguel Couceiro
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Soumis le : mardi 31 janvier 2017 - 13:58:10
Dernière modification le : samedi 30 juin 2018 - 09:57:03
Document(s) archivé(s) le : lundi 1 mai 2017 - 14:31:04
Miguel Couceiro, Bruno Teheux. Pivotal decomposition schemes inducing clones of operations. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Springer Verlag, 2018, 59 (1), pp.25-40. 〈hal-01450835〉
