Geodesic
Embedding of a Uniquely Divisible Abelian Semigroup In a Convex Cone
Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 396-404

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It is proved that every uniquely divisible Abelian semigroup admits an injective subadditive embedding in a convex cone. As an application, the classical theory of generators of one-parameter operator semigroups is generalized to the case in which the parameter ranges over a uniquely divisible semigroup.
Keywords: Abelian semigroup, unique divisibility, convex cone, infinitesimal generator of an operator semigroup. 
@article{MZM_2017_102_3_a5,
     author = {I. V. Orlov},
     title = {Embedding of a {Uniquely} {Divisible} {Abelian} {Semigroup} {In} a {Convex} {Cone}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {396--404},
     publisher = {mathdoc},
     volume = {102},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a5/}
}
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I. V. Orlov. Embedding of a Uniquely Divisible Abelian Semigroup In a Convex Cone. Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 396-404. http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a5/