Geodesic
Right-Ordered Groups
Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 891-895

Voir la notice de l'article provenant de la source Cambridge University Press

A group G is right-ordered if it can be totally ordered so that for any a, b, c in G, a < b implies that ac < bc. Right-ordered groups, considered as order preserving automorphisms of ordered sets, were studied by Cohn in [4]; but the first systematic study of the structure of these groups was made by Conrad in [5] where he gave several natural characterizations of right-ordered groups. We mention here that the class of right-ordered groups is precisely the subgroup closure of the class of lattice ordered groups (see [6], [7], [9] or [10]). 
Rhemtulla, A. H. Right-Ordered Groups. Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 891-895. doi: 10.4153/CJM-1972-088-x
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