Geodesic
Lexicographic products of half linearly ordered groups
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 127-138.

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The notion of the half linearly ordered group (and, more generally, of the half lattice ordered group) was introduced by Giraudet and Lucas [2]. In the present paper we define the lexicographic product of half linearly ordered groups. This definition includes as a particular case the lexicographic product of linearly ordered groups. We investigate the problem of the existence of isomorphic refinements of two lexicographic product decompositions of a half linearly ordered group. The analogous problem for linearly ordered groups was dealt with by Maltsev [5]; his result was generalized by Fuchs [1] and the author [3]. The isomorphic refinements of small direct product decompositions of half lattice ordered groups were studied in [4].
Classification : 06F15
Keywords: half linearly ordered group; lexicographic product; isomorphic refinements 
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     author = {Jakub{\'\i}k, J\'an},
     title = {Lexicographic products of half linearly ordered groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {127--138},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2001},
     mrnumber = {1814638},
     zbl = {1079.06504},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a11/}
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Jakubík, Ján. Lexicographic products of half linearly ordered groups. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 127-138. http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a11/