Geodesic
Lexicographic extensions and $pl$-groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 1133-1138

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It is known that a lexicographic extension of an $l$-group by an $l$-group needs not to be an $l$-group. It has been proved in [7] that such extension is a $pl$-group (introduced in [2] and [4]). The purpose of this paper is to show that the class of $pl$-groups is closed with respect to lexicographic extensions. 
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     title = {Lexicographic extensions and $pl$-groups},
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E. E. Shirshova. Lexicographic extensions and $pl$-groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 1133-1138. http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a26/