Geodesic
On some properties of pure morphisms of commutative rings
Theory and applications of categories, Tome 10 (2002), pp. 180-186

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We prove that pure morphisms of commutative rings are effective $A$-descent morphisms where $A$ is a (COMMUTATIVE RINGS)$^op$-indexed category given by (i) finitely generated modules, or (ii) flat modules, or (iii) finitely generated flat modules, or (iv) finitely generated projective modules.

Classification : 13B02, 13B99, 18A20, 18A22, 18D30.
Keywords: Indexed categories, effective descent morphisms, pure morphisms. 
@article{TAC_2002_10_a8,
     author = {Bachuki Mesablishvili},
     title = {On some properties of pure morphisms of commutative rings},
     journal = {Theory and applications of categories},
     pages = {180--186},
     publisher = {mathdoc},
     volume = {10},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2002_10_a8/}
}
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Bachuki Mesablishvili. On some properties of pure morphisms of commutative rings. Theory and applications of categories, Tome 10 (2002), pp. 180-186. http://geodesic.mathdoc.fr/item/TAC_2002_10_a8/