Geodesic
Algebraically equivalent clones
Algebra i logika, Tome 55 (2016) no. 6, pp. 760-768

Voir la notice de l'article provenant de la source Math-Net.Ru

Two functional clones $F$ and $G$ on a set $A$ are said to be algebraically equivalent if sets of solutions for $F$- and $G$-equations coincide on $A$. It is proved that pairwise algebraically nonequivalent existentially additive clones on finite sets $A$ are finite in number. We come up with results on the structure of algebraic equivalence classes, including an equationally additive clone, in the lattices of all clones on finite sets.
Keywords: clone, equationally additive clone, algebraically equivalent clones, lattice. 
@article{AL_2016_55_6_a4,
     author = {A. G. Pinus},
     title = {Algebraically equivalent clones},
     journal = {Algebra i logika},
     pages = {760--768},
     publisher = {mathdoc},
     volume = {55},
     number = {6},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2016_55_6_a4/}
}
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A. G. Pinus. Algebraically equivalent clones. Algebra i logika, Tome 55 (2016) no. 6, pp. 760-768. http://geodesic.mathdoc.fr/item/AL_2016_55_6_a4/