On some properties of pure morphisms of commutative rings
Theory and applications of categories, Tome 10 (2002), pp. 180-186
Cet article a éte moissonné depuis 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.
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},
year = {2002},
volume = {10},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2002_10_a8/}
}
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/