Geodesic
Isotone mapping of free lattices
Matematičeskie zametki, Tome 4 (1968) no. 4, pp. 405-416

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An arbitrary partially ordered set $P$ and an isotone mapping $\varphi$ of this set into a complete lattice $L$ are considered. It is proved that the mapping $\varphi$ can be extended to an isotone mapping $\varphi^*$ of the lattice $FL(P)$ into the lattice $L$. 
@article{MZM_1968_4_4_a3,
     author = {T. S. Fofanova},
     title = {Isotone mapping of free lattices},
     journal = {Matemati\v{c}eskie zametki},
     pages = {405--416},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_4_a3/}
}
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T. S. Fofanova. Isotone mapping of free lattices. Matematičeskie zametki, Tome 4 (1968) no. 4, pp. 405-416. http://geodesic.mathdoc.fr/item/MZM_1968_4_4_a3/