The Mittag-Leffler condition descents via pure monomorphisms
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866929589301805056 |
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| author | Herbera, Dolors |
| author_facet | Herbera, Dolors |
| contents | 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}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_14929 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Mittag-Leffler condition descents via pure monomorphisms Herbera, Dolors Commutative Algebra Rings and Algebras 13C60 (Primary) 16D40 (Secondary 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}. |
| title | The Mittag-Leffler condition descents via pure monomorphisms |
| topic | Commutative Algebra Rings and Algebras 13C60 (Primary) 16D40 (Secondary |
| url | https://arxiv.org/abs/2209.14929 |