The Theory of Lattice-Ordered Groups pp 91-110 | Cite as
Right-ordered groups
Chapter
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.
Keywords
Normal Subgroup Nilpotent Group Total Order Group Ring Quotient Group
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information
© Springer Science+Business Media Dordrecht 1994