Pure Morphisms are Effective for Modules

Applied Categorical Structures - Tập 21 - Trang 801-809 - 2012
Bachuki Mesablishvili1,2
1A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, Tbilisi, Republic of Georgia
2Tbilisi Centre for Mathematical Sciences, Tbilisi, Republic of Georgia

Tóm tắt

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.

Tài liệu tham khảo

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