Geodesic
The embedding of an ordered semigroup into an ordered group by means of pseudoorder
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 106-110
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It is shown that an ordered cancellative commutative semigroup can be embedded into an ordered commutative group. 
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N. Kehayopulu; J. S. Ponizovskii; M. Tsingelis. The embedding of an ordered semigroup into an ordered group by means of pseudoorder. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 106-110. http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a11/

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