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.