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- W1661178085 abstract "Partially ordered groups, also known as po-groups, are groups with a compatible partial order. Results from M.I. Zajceva and H.-H. Teh are combined in order to provide a full characterisation of linear order extensions of a given order on a group. In contrast to Teh this approach provides a method to discuss linear orders of different abelian rank in a uniform manner. This will be achieved by modelling the linear orders using hyperplanes in a real vector spaces. Among some additional remarks a construction of an archimedian directed order is given for every torsion free abelian group." @default.
- W1661178085 created "2016-06-24" @default.
- W1661178085 creator A5089487445 @default.
- W1661178085 date "2011-06-20" @default.
- W1661178085 modified "2023-09-27" @default.
- W1661178085 title "Linear extensions of partial orders on Abelian groups" @default.
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