Upper bounds on two Hilbert coefficients

New upper bounds on the first and the second Hilbert coefficients of a Cohen-Macaulay module over a local ring are given. Characterizations are provided for some upper bounds to be attained. The characterizations are given in terms of Hilbert series as well as in terms of the Castelnuovo-Mumford reg...

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Detalles Bibliográficos
Autores: Dung, Le Xuan, Elías García, Joan, Hoa, Le Tuan
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/220182
Acceso en línea:https://hdl.handle.net/2445/220182
Access Level:acceso abierto
Palabra clave:Homologia
Àlgebres de Hilbert
Anells locals
Homology
Hilbert algebras
Local rings
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spelling Upper bounds on two Hilbert coefficientsDung, Le XuanElías García, JoanHoa, Le TuanHomologiaÀlgebres de HilbertAnells localsHomologyHilbert algebrasLocal ringsNew upper bounds on the first and the second Hilbert coefficients of a Cohen-Macaulay module over a local ring are given. Characterizations are provided for some upper bounds to be attained. The characterizations are given in terms of Hilbert series as well as in terms of the Castelnuovo-Mumford regularity of the associated graded module.Elsevier2025202520232025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion28 p.application/pdfhttps://hdl.handle.net/2445/220182Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: https://doi.org/10.1016/j.jalgebra.2023.06.036Journal of Algebra, 2023, vol. 633, p. 563-590https://doi.org/10.1016/j.jalgebra.2023.06.036cc-by-nc-nd (c) Le Xuan Dung et al., 2023http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:2445/2201822026-05-29T05:05:01Z
dc.title.none.fl_str_mv Upper bounds on two Hilbert coefficients
title Upper bounds on two Hilbert coefficients
spellingShingle Upper bounds on two Hilbert coefficients
Dung, Le Xuan
Homologia
Àlgebres de Hilbert
Anells locals
Homology
Hilbert algebras
Local rings
title_short Upper bounds on two Hilbert coefficients
title_full Upper bounds on two Hilbert coefficients
title_fullStr Upper bounds on two Hilbert coefficients
title_full_unstemmed Upper bounds on two Hilbert coefficients
title_sort Upper bounds on two Hilbert coefficients
dc.creator.none.fl_str_mv Dung, Le Xuan
Elías García, Joan
Hoa, Le Tuan
author Dung, Le Xuan
author_facet Dung, Le Xuan
Elías García, Joan
Hoa, Le Tuan
author_role author
author2 Elías García, Joan
Hoa, Le Tuan
author2_role author
author
dc.subject.none.fl_str_mv Homologia
Àlgebres de Hilbert
Anells locals
Homology
Hilbert algebras
Local rings
topic Homologia
Àlgebres de Hilbert
Anells locals
Homology
Hilbert algebras
Local rings
description New upper bounds on the first and the second Hilbert coefficients of a Cohen-Macaulay module over a local ring are given. Characterizations are provided for some upper bounds to be attained. The characterizations are given in terms of Hilbert series as well as in terms of the Castelnuovo-Mumford regularity of the associated graded module.
publishDate 2023
dc.date.none.fl_str_mv 2023
2025
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/220182
url https://hdl.handle.net/2445/220182
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1016/j.jalgebra.2023.06.036
Journal of Algebra, 2023, vol. 633, p. 563-590
https://doi.org/10.1016/j.jalgebra.2023.06.036
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Le Xuan Dung et al., 2023
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Le Xuan Dung et al., 2023
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 28 p.
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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