Geodesic
Arithmetical semigroups I: direct factors.
Manuscripta mathematica, Tome 71 (1991) no. 3, pp. 83-96.

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Mots-clés : direct factors of commutative additive arithmetical semigroups, axiom, direct factors of the set of positive integers 
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     author = {J. KNOPFMACHER and K.-H. Indlekofer and R. Warlimont},
     title = {Arithmetical semigroups {I:} direct factors.},
     journal = {Manuscripta mathematica},
     pages = {83--96},
     publisher = {mathdoc},
     volume = {71},
     number = {3},
     year = {1991},
     zbl = {0723.11048},
     url = {http://geodesic.mathdoc.fr/item/MM2_1991__71_3_155606/}
}
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J. KNOPFMACHER; K.-H. Indlekofer; R. Warlimont. Arithmetical semigroups I: direct factors.. Manuscripta mathematica, Tome 71 (1991) no. 3, pp. 83-96. http://geodesic.mathdoc.fr/item/MM2_1991__71_3_155606/