Cohomology operations and applications in commutative algebra
- Autores: Samuel Alvite Pazó
- Directores de la Tesis: Javier Majadas (dir. tes.)
- Lectura: En la Universidade de Santiago de Compostela ( España ) en 2025
- Idioma: inglés
- Enlaces
- Tesis en acceso abierto en: MINERVA
- Resumen
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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