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Pure morphisms of commutative rings are effective descent morphisms for modules -- a new proof
Theory and applications of categories, Tome 7 (2000), pp. 38-42 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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The purpose of this paper is to give a new proof of the Joyal-Tierney theorem (unpublished), which asserts that a morphism $f:R\rightarrow S$ of commutative rings is an effective descent morphism for modules if and only if $f$ is pure as a morphism of $R$-modules.

Classification : 13C99, 18A20, 18A30, 18A40.
Keywords: Pure morphisms, (effective) Descent morphisms, Split coequalizers. 
@article{TAC_2000_7_a2,
     author = {Bachuki Mesablishvili},
     title = {Pure morphisms of commutative rings are  effective descent morphisms for
modules -- a new proof},
     journal = {Theory and applications of categories},
     pages = {38--42},
     year = {2000},
     volume = {7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2000_7_a2/}
}
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%A Bachuki Mesablishvili
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modules -- a new proof
%J Theory and applications of categories
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Bachuki Mesablishvili. Pure morphisms of commutative rings are  effective descent morphisms for
modules -- a new proof. Theory and applications of categories, Tome 7 (2000), pp. 38-42. http://geodesic.mathdoc.fr/item/TAC_2000_7_a2/