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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Detalles Bibliográficos
Autor: Alvite Pazó, Samuel
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
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spelling Cohomology operations and applications in commutative algebraAlvite Pazó, SamuelCohomological operationsregularitycomplete intersection120101 Geometría algebraica120107 Algebra homologicaWe 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.Majadas Soto, José JavierUniversidade de Santiago de Compostela. Escola de Doutoramento Internacional (EDIUS)20252025-01-0120252025-01-01doctoral thesishttp://purl.org/coar/resource_type/c_db06info:eu-repo/semantics/doctoralThesisapplication/pdfhttps://hdl.handle.net/10347/44351reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/443512026-06-15T12:47:27Z
dc.title.none.fl_str_mv Cohomology operations and applications in commutative algebra
title Cohomology operations and applications in commutative algebra
spellingShingle Cohomology operations and applications in commutative algebra
Alvite Pazó, Samuel
Cohomological operations
regularity
complete intersection
120101 Geometría algebraica
120107 Algebra homologica
title_short Cohomology operations and applications in commutative algebra
title_full Cohomology operations and applications in commutative algebra
title_fullStr Cohomology operations and applications in commutative algebra
title_full_unstemmed Cohomology operations and applications in commutative algebra
title_sort Cohomology operations and applications in commutative algebra
dc.creator.none.fl_str_mv Alvite Pazó, Samuel
author Alvite Pazó, Samuel
author_facet Alvite Pazó, Samuel
author_role author
dc.contributor.none.fl_str_mv Majadas Soto, José Javier
Universidade de Santiago de Compostela. Escola de Doutoramento Internacional (EDIUS)
dc.subject.none.fl_str_mv Cohomological operations
regularity
complete intersection
120101 Geometría algebraica
120107 Algebra homologica
topic Cohomological operations
regularity
complete intersection
120101 Geometría algebraica
120107 Algebra homologica
description 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.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-01-01
2025
2025-01-01
dc.type.none.fl_str_mv doctoral thesis
http://purl.org/coar/resource_type/c_db06
dc.type.openaire.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/10347/44351
url https://hdl.handle.net/10347/44351
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname:Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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