On partially ordered groups of locally finite length
Božena Černáková (1986)
Mathematica Slovaca
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Božena Černáková (1986)
Mathematica Slovaca
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J. Blair Roll (1993)
Czechoslovak Mathematical Journal
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W. Mlak (1966)
Studia Mathematica
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Ján Jakubík (1990)
Czechoslovak Mathematical Journal
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W. Mlak (1965)
Annales Polonici Mathematici
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Gabrijel Tomšič (1974)
Studia Mathematica
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Ján Jakubík (2001)
Czechoslovak Mathematical Journal
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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...