Geodesic
Clones, Co-Clones, Hyperclones and Superclones
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 2, pp. 120-125

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Resolvability operation on set of partial hyperoperations is introduced into consideration. The superclone is defined as algebra with the basic set of partial hyperoperations and two-place operation of substitution, single operations of cyclic shift of arguments, of argument transposition, of argument identification, of resolvability and nullary operations specifying operation of designing and everywhere uncertain operation. The relation of superclones to partial hyperclones, to co-clones, and to clones is studied. The statement about isomorphism of a lattice of superclones and lattice of co-clones over identical sets is proved.
Keywords: resolvability operation, hyperoperation, clone, superclone, partial hyperoperation, partial hyperclone, co-clone, lattice. 
@article{UZKU_2009_151_2_a14,
     author = {N. A. Peryazev},
     title = {Clones, {Co-Clones,} {Hyperclones} and {Superclones}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {120--125},
     publisher = {mathdoc},
     volume = {151},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a14/}
}
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N. A. Peryazev. Clones, Co-Clones, Hyperclones and Superclones. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 2, pp. 120-125. http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a14/