HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Pivotal decomposition schemes inducing clones of operations

Miguel Couceiro 1 Bruno Teheux 2
1 ORPAILLEUR - Knowledge representation, reasonning
Inria Nancy - Grand Est, LORIA - NLPKD - Department of Natural Language Processing & Knowledge Discovery
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.
Complete list of metadata

Cited literature [20 references]  Display  Hide  Download

Contributor : Miguel Couceiro Connect in order to contact the contributor
Submitted on : Tuesday, January 31, 2017 - 1:58:10 PM
Last modification on : Wednesday, November 3, 2021 - 7:09:14 AM
Long-term archiving on: : Monday, May 1, 2017 - 2:31:04 PM


Files produced by the author(s)



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. ⟨10.1007/s13366-017-0354-6⟩. ⟨hal-01450835⟩



Record views


Files downloads