Cohomology operations and applications in commutative algebra
We study cohomological operations within the context of local algebra, first by extending Mehta's operations and then through the Hopf algebra structure on certain Tor modules. Using these results, we give a powerful descent of regularity result for non-noetherian rings. Additionally, we study...
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| Tipo de recurso: | tesis doctoral |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Santiago de Compostela (USC) |
| Repositorio: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglés |
| OAI Identifier: | oai:minerva.usc.gal:10347/44351 |
| Acceso en línea: | https://hdl.handle.net/10347/44351 |
| Access Level: | acceso abierto |
| Palabra clave: | Cohomological operations regularity complete intersection 120101 Geometría algebraica 120107 Algebra homologica |
| Sumario: | We study cohomological operations within the context of local algebra, first by extending Mehta's operations and then through the Hopf algebra structure on certain Tor modules. Using these results, we give a powerful descent of regularity result for non-noetherian rings. Additionally, we study the ascent and descent of the complete intersection property by introducing three new clases of homomorphisms. |
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