2012arXiv (Cornell University)Open access

Pure morphisms are effective for modules

Bachuki Mesablishvili

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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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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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Available 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.

Key concepts: Morphism, Descent (aeronautics), Mathematics, Commutative property, Pure mathematics, Physics, Meteorology

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