Article (Scientific journals)
Uniqueness of minimal coverings of maximal partial clones
Schölzel, Karsten
2011In Algebra Universalis, 65 (4), p. 393-420
Peer reviewed
 

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Abstract :
[en] A partial function f on a k-element set Ek is a partial Sheffer function if every partial function on Ek is definable in terms of f. Since this holds if and only if f belongs to no maximal partial clone on Ek, a characterization of partial Sheffer functions reduces to finding families of minimal coverings of maximal partial clones on Ek. We show that for each k ≥ 2, there exists a unique minimal covering.
Disciplines :
Mathematics
Author, co-author :
Schölzel, Karsten ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Uniqueness of minimal coverings of maximal partial clones
Publication date :
2011
Journal title :
Algebra Universalis
ISSN :
0002-5240
Volume :
65
Issue :
4
Pages :
393-420
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 19 November 2013

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