Geodesic
On extensions of AO-groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 1, pp. 277-281 
E. E. Shirshova. On extensions of AO-groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 1, pp. 277-281. http://geodesic.mathdoc.fr/item/FPM_2003_9_1_a17/
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     url = {http://geodesic.mathdoc.fr/item/FPM_2003_9_1_a17/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The notion of an extension is important in the study of partially ordered groups. In the present paper the notion of a lexicographic extension of a partially ordered group by an AO-group is studied. A result is obtained concerning an AO-group $G$ which is a lexicographic extension of a directed subgroup of $G$.

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