Geodesic
Homomorphisms which preserve $p$-disjointness
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 3, pp. 939-952.

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The natural homomorphism maps each pair of $p$-disjoint elements of a partially ordered group $G$ onto a pair of $p$-disjoint elements of a partially ordered group $G/M$. The homomorphisms which have that property are considered here. The purpose of this paper is to derive the standard homomorphism theorems for $pl$-groups. 
@article{FPM_2000_6_3_a22,
     author = {E. E. Shirshova},
     title = {Homomorphisms which preserve $p$-disjointness},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {939--952},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a22/}
}
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E. E. Shirshova. Homomorphisms which preserve $p$-disjointness. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 3, pp. 939-952. http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a22/