Abstract
A right-ordered (ro-group) group G is a group that is at the some time a totally ordered set under relation ≤ such that xz ≤ yz whenever x ≤ y. If group G can be right-ordered, then G is called right-order able group (RO-group). Of course, every o-group a is ro-group and every O-group is a RO-group.
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© 1994 Springer Science+Business Media Dordrecht
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Kopytov, V.M., Medvedev, N.Y. (1994). Right-ordered groups. In: The Theory of Lattice-Ordered Groups. Mathematics and Its Applications, vol 307. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8304-6_5
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DOI: https://doi.org/10.1007/978-94-015-8304-6_5
Publisher Name: Springer, Dordrecht
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