论文标题
Mittag-Leffler条件通过纯单态下降
The Mittag-Leffler condition descents via pure monomorphisms
论文作者
论文摘要
该注释旨在阐明Raynaud和Gruson给出的证据表明,Mittag-Leffler财产通过纯环的纯戒指降临。结果是,通过这种环同态的投影性凹痕,对证明的修订还允许证明纯粹的标志性下降的特性也通过交换圈之间的纯单态性}来证明。
This notes aims to clarify the proof given by Raynaud and Gruson that the Mittag-Leffler property descents via pure rings monomorphism of commutative rings. A consequence of that is that projectivity dencents via such ring homomorphisms, a revision of the proof also allows to prove that the property of being pure-projective also descents via pure monomorphisms between commutative rings}.