Geodesic
Commutative cancellative semigroups and rational vector spaces
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 1, pp. 133-144 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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Representing a commutative cancellative subarchimedean semigroup \(S\) as \(\mathbb{N}_i (G, I)\), we consider \(\text{Hom}(S, \mathbb{Q})\) and \(\text{Hom }(G, \mathbb{Q})\), where Q is the additive group of rational numbers. These sets can be given the structure of rational vector spaces. Suitable isomorphic copies of these vector spaces are found by means of certain functions related to some mappings introduced by T. Tamura. 
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     title = {Commutative cancellative semigroups and rational vector spaces},
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     pages = {133--144},
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     mrnumber = {2204904},
     language = {en},
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Cegarra, Antonio M.; Petrich, Mario. Commutative cancellative semigroups and rational vector spaces. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 1, pp. 133-144. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_1_a6/