Geodesic
Quasi-coherent sheaves in commutative and non-commutative geometry
Izvestiya. Mathematics, Tome 67 (2003) no. 3, pp. 535-554 
D. O. Orlov. Quasi-coherent sheaves in commutative and non-commutative geometry. Izvestiya. Mathematics, Tome 67 (2003) no. 3, pp. 535-554. http://geodesic.mathdoc.fr/item/IM2_2003_67_3_a5/
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     title = {Quasi-coherent sheaves in commutative and non-commutative geometry},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We give a definition of quasi-coherent modules for any presheaf of sets on the categories of affine commutative and non-commutative schemes. This definition generalizes the usual one. We study the property of a quasi-coherent module to be a sheaf in various topologies. Using presheaves of groupoids, we construct an embedding of commutative geometry in non-commutative geometry.

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