Flat epimorphisms and silting epimorphisms coincide for commutative rings
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915532665520128 |
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| author | Šťovíček, Jan |
| author_facet | Šťovíček, Jan |
| contents | We investigate the relation between partial silting modules, Gabriel topologies, and ring epimorphisms, with a particular emphasis on commutative rings. We show that a ring epimorphism of commutative rings is flat if and only if it is a silting ring epimorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03440 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flat epimorphisms and silting epimorphisms coincide for commutative rings Šťovíček, Jan Rings and Algebras Representation Theory 13B40 (Primary), 16D40, 16S90 (Secondary) We investigate the relation between partial silting modules, Gabriel topologies, and ring epimorphisms, with a particular emphasis on commutative rings. We show that a ring epimorphism of commutative rings is flat if and only if it is a silting ring epimorphism. |
| title | Flat epimorphisms and silting epimorphisms coincide for commutative rings |
| topic | Rings and Algebras Representation Theory 13B40 (Primary), 16D40, 16S90 (Secondary) |
| url | https://arxiv.org/abs/2510.03440 |