Goldie's theorem for semigroups.
Semigroup forum, Tome 47 (1993) no. 2, pp. 182-195.

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Mots-clés : -acts, left order, classical left quotient semigroup, cancellable element, Artin-Wedderburn-Theorem, matrix monoids, endomorphism monoid, free systems, -system, Goldie dimension, congruences
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     author = {G. Song},
     title = {Goldie's theorem for semigroups.},
     journal = {Semigroup forum},
     pages = {182--195},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {1993},
     zbl = {0791.20082},
     url = {http://geodesic.mathdoc.fr/item/SF_1993__47_2_135268/}
}
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G. Song. Goldie's theorem for semigroups.. Semigroup forum, Tome 47 (1993) no. 2, pp. 182-195. http://geodesic.mathdoc.fr/item/SF_1993__47_2_135268/