Geodesic
On finite generating subsets in monotone clones of many-valued logic
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 3, pp. 49-54

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The problem of existence of finite generating systems in maximal clones of monotone functions of many-valued logic is considered. It is proved that if a finite bounded poset contains $\sup(x,y)$ or $\inf(x,y)$ for every two elements $x$ and $y$, then the clones of all monotone functions in this poset is finitely generated.
Keywords: functions of many-valued logic, clones, maximal clones of monotone functions of $P_k$. 
@article{UZKU_2014_156_3_a4,
     author = {O. S. Dudakova},
     title = {On finite generating subsets in monotone clones of many-valued logic},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {49--54},
     publisher = {mathdoc},
     volume = {156},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2014_156_3_a4/}
}
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O. S. Dudakova. On finite generating subsets in monotone clones of many-valued logic. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 3, pp. 49-54. http://geodesic.mathdoc.fr/item/UZKU_2014_156_3_a4/