Geodesic
Triples and Localizations(1)
Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 333-339

Voir la notice de l'article provenant de la source Cambridge University Press

Let A be a ring (associative) with unity, and let denote the category of unital left A-modules. If is a strongly complete Serre class in then (see [3], and also [6]) there is an exact functor S: , where is the quotient category , and is an abelian category. 
Heinicke, A. G. Triples and Localizations(1). Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 333-339. doi: 10.4153/CMB-1971-061-2
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[1] 1. Dickson, S. E., A torsion theory for abelian categories, Trans. Amer. Math. Soc, 121 (1966), 123-235. Google Scholar

[2] 2. Eilenberg, S. and Moore, J. C., Adjoint functors and triples, Illinois J. Math. 9 (1965), 381-398. Google Scholar

[3] 3. Gabriel, P., Des categories abeliennes, Bull. Soc. Math., France, 90 (1962), 323-448. Google Scholar

[4] 4. Goldman, O., Rings and modules of quotients, J. Algebra, 13 (1969), 10-47. Google Scholar

[5] 5. Mitchell, B., Theory of categories, Academic Press, New York, 1965. Google Scholar

[6] 6. Walker, C. L. and Walker, E. A., Quotient categories and rings of quotients (to appear). Google Scholar

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