Reference : Partial R-clones
Scientific congresses, symposiums and conference proceedings : Paper published in a journal
Physical, chemical, mathematical & earth Sciences : Mathematics
Partial R-clones
Schölzel, Karsten mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Romov, Boris [Bayard Rustin Ed. Complex, New York, USA]
Multiple-Valued Logic (ISMVL), 2014 IEEE 44rd International Symposium on
ISMVL 2014 IEEE International Symposium on Multiple-Valued Logic
19-05-2014 to 21-05-2014
[en] Galois connection ; invariant relation ; partial clone
[en] In [Romov, ISMVL 2013] the first author introduced a type of partial clones as the intersection of some special infinite descending chains similar to I. Rosenberg
(1972) in the case of total clones. We provide a characterization of these clones in terms of their invariants, and propose a generalization of such clones, which we will call partial R-clones. We show that there are only finitely many partial R-clones. Furthermore, we investigate some properties related to their position in the lattice of partial clones.

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