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Lexicographic products of half linearly ordered groups. (English) Zbl 1079.06504
Summary: The notion of the half linearly ordered group (and, more generally, of the half lattice ordered group) was introduced by M. Giraudet and F. Lucas [Fundam. Math. 139, 75-89 (1991; Zbl 0766.06014)].
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.

MSC:
06F15 Ordered groups
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References:
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[2] M. Giraudet and F. Lucas: Groupes à moitié ordonnés. Fund. Math. 139 (1991), 75-89. · Zbl 0766.06014
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