Lexicographic product decompositions of cyclically ordered groups

Ján Jakubík

Displaying similar documents to “Lexicographic product decompositions of cyclically 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...

Lexicographic products of cyclically ordered groups

Štefan Černák (1995)

Mathematica Slovaca

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On half cyclically ordered groups

Ján Jakubík (2002)

Czechoslovak Mathematical Journal

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In this paper we introduce and investigate the notion of half cyclically ordered group generalizing the notion of half partially ordered group whose study was begun by Giraudet and Lucas.