Cantor extension of a half lineary cyclically ordered group

Štefan Černák

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Displaying similar documents to “Cantor extension of a half lineary cyclically ordered group”

Linear extensions of orderings

Vítězslav Novák, Miroslav Novotný (2000)

Czechoslovak Mathematical Journal

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A construction is given which makes it possible to find all linear extensions of a given ordered set and, conversely, to find all orderings on a given set with a prescribed linear extension. Further, dense subsets of ordered sets are studied and a procedure is presented which extends a linear extension constructed on a dense subset to the whole set.

Cantor extension of an Abelian cyclically ordered group

Štefan Černák (1989)

Mathematica Slovaca

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Retracts of abelian cyclically ordered groups

Ján Jakubík (1989)

Archivum Mathematicum

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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.

It is consistent that there exists an ordered real closed field which is not hyper-real.

Stojanović, Jadran, Perović, Žikica (1997)

Publications de l'Institut Mathématique. Nouvelle Série

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Completion of a half linearly cyclically ordered group

Štefan Černák (2002)

Discussiones Mathematicae - General Algebra and Applications

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The notion of a half lc-group G is a generalization of the notion of a half linearly ordered group. A completion of G by means of Dedekind cuts in linearly ordered sets and applying Świerczkowski's representation theorem of lc-groups is constructed and studied.