Displaying similar documents to “Characterization of all order relations in direct sums of ordered groups.”

Lexicographic products of half linearly ordered groups

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...