Pure morphisms are effective for modules

2012/06/15 by Bachuki Mesablishvili, Mesablishvili, Bachuki
Mathematics · #13B02 #16D90 #18C20 #18D30 #Category Theory (math.CT) #FOS: Mathematics #math.CT #msc:13B02 #msc:16D90 #msc:18C20 #msc:18D30

paper · pdf · doi:10.48550/arxiv.1206.3439

arxiv created 2012/06/15 · arxiv updated 2012/06/18

Abstract

Yet another proof of the result asserting that a morphism of commutative rings is an effective descent morphism for modules if and only if it is pure is given. Moreover, it is shown that this result cannot be derived from Moerdijk's descent criterion.

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