Geodesic
A Generalized Ring of Quotients II
Canadian mathematical bulletin, Tome 1 (1958) no. 3, pp. 155-167

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DOI

A partial homomorphism φ from B into A will be called a fractional homomorphism if dom φ ≤ B (A). Every extension of a fractional homomorphism is again fractional, and each fractional homomorphism has a unique irreducible extension. 
Findlay, G.D.; Lambek, J. A Generalized Ring of Quotients II. Canadian mathematical bulletin, Tome 1 (1958) no. 3, pp. 155-167. doi: 10.4153/CMB-1958-016-6
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     title = {A {Generalized} {Ring} of {Quotients} {II}},
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     year = {1958},
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     doi = {10.4153/CMB-1958-016-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1958-016-6/}
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