THE MITTAG-LEFFLER CONDITION DESCENTS VIA PURE MONOMORPHISMS

D. Herbera

doi:10.48550/arXiv.2209.14929

THE MITTAG-LEFFLER CONDITION DESCENTS VIA PURE MONOMORPHISMS

D. Herbera

Department of Mathematics

Research output: Other contribution

Abstract

This notes aims to clarify the proof given by Raynaud and Gruson \cite{RG} 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 (cf.\cite{perry}), a revision of the proof also allows to prove that the property of being pure-projective also descents via pure monomorphisms between commutative rings

Original language	English
Type	Short note
Media of output	Arxiv
Number of pages	6
DOIs	https://doi.org/10.48550/arXiv.2209.14929
Publication status	Unpublished - 2022

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title = "THE MITTAG-LEFFLER CONDITION DESCENTS VIA PURE MONOMORPHISMS",

abstract = "This notes aims to clarify the proof given by Raynaud and Gruson \textbackslash{}cite\{RG\} 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 (cf.\textbackslash{}cite\{perry\}), a revision of the proof also allows to prove that the property of being pure-projective also descents via pure monomorphisms between commutative rings",

author = "D. Herbera",

year = "2022",

doi = "10.48550/arXiv.2209.14929",

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N2 - This notes aims to clarify the proof given by Raynaud and Gruson \cite{RG} 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 (cf.\cite{perry}), a revision of the proof also allows to prove that the property of being pure-projective also descents via pure monomorphisms between commutative rings

AB - This notes aims to clarify the proof given by Raynaud and Gruson \cite{RG} 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 (cf.\cite{perry}), a revision of the proof also allows to prove that the property of being pure-projective also descents via pure monomorphisms between commutative rings

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U2 - 10.48550/arXiv.2209.14929

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M3 - Other contribution

ER -

THE MITTAG-LEFFLER CONDITION DESCENTS VIA PURE MONOMORPHISMS

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