Monomial multiplicities in explicit form

Autores
Alesandroni, Guillermo
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión enviada
Descripción
Fil: Alesandroni, Guillermo. Pontificia Universidad Católica Argentina. Facultad de Química e Ingeniería del Rosario; Argentina
Abstract: In this article we give explicit descriptions of the multiplicities of some classes of monomial ideals. For instance, we give a formula for the multiplicities of all codimension 1 monomial ideals, and another formula for the multiplicities of almost complete intersections. We also introduce a new class of ideals that extends the family of monomial complete intersections, and give a formula for their multiplicity, as well as a visual interpretation of this invariant.
Fuente
Journal of Algebra and Its Applications. 2019
Materia
MONOMIOS
ALGEBRA
IDEALES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
Repositorio Institucional (UCA)
Institución
Pontificia Universidad Católica Argentina
OAI Identificador
oai:ucacris:123456789/9747
Acceder
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oai_identifier_str oai:ucacris:123456789/9747
network_acronym_str RIUCA
repository_id_str 2585
network_name_str Repositorio Institucional (UCA)
spelling Monomial multiplicities in explicit formAlesandroni, GuillermoMONOMIOSALGEBRAIDEALESFil: Alesandroni, Guillermo. Pontificia Universidad Católica Argentina. Facultad de Química e Ingeniería del Rosario; ArgentinaAbstract: In this article we give explicit descriptions of the multiplicities of some classes of monomial ideals. For instance, we give a formula for the multiplicities of all codimension 1 monomial ideals, and another formula for the multiplicities of almost complete intersections. We also introduce a new class of ideals that extends the family of monomial complete intersections, and give a formula for their multiplicity, as well as a visual interpretation of this invariant.World Scientific Publishing2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttps://repositorio.uca.edu.ar/handle/123456789/97470219-4988 (impreso)1793-6829 (online)10.1142/S02194988205018191901.03291Alesandroni, G. Monomial multiplicities in explicit form [en línea]. Journal of Algebra and Its Applications. 2019. doi:10.1142/S0219498820501819 Disponible en: https://repositorio.uca.edu.ar/handle/123456789/9747Journal of Algebra and Its Applications. 2019reponame:Repositorio Institucional (UCA)instname:Pontificia Universidad Católica Argentinaenginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/2025-07-03T10:57:15Zoai:ucacris:123456789/9747instacron:UCAInstitucionalhttps://repositorio.uca.edu.ar/Universidad privadaNo correspondehttps://repositorio.uca.edu.ar/oaiclaudia_fernandez@uca.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:25852025-07-03 10:57:16.237Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentinafalse
dc.title.none.fl_str_mv Monomial multiplicities in explicit form
title Monomial multiplicities in explicit form
spellingShingle Monomial multiplicities in explicit form
Alesandroni, Guillermo
MONOMIOS
ALGEBRA
IDEALES
title_short Monomial multiplicities in explicit form
title_full Monomial multiplicities in explicit form
title_fullStr Monomial multiplicities in explicit form
title_full_unstemmed Monomial multiplicities in explicit form
title_sort Monomial multiplicities in explicit form
dc.creator.none.fl_str_mv Alesandroni, Guillermo
author Alesandroni, Guillermo
author_facet Alesandroni, Guillermo
author_role author
dc.subject.none.fl_str_mv MONOMIOS
ALGEBRA
IDEALES
topic MONOMIOS
ALGEBRA
IDEALES
dc.description.none.fl_txt_mv Fil: Alesandroni, Guillermo. Pontificia Universidad Católica Argentina. Facultad de Química e Ingeniería del Rosario; Argentina
Abstract: In this article we give explicit descriptions of the multiplicities of some classes of monomial ideals. For instance, we give a formula for the multiplicities of all codimension 1 monomial ideals, and another formula for the multiplicities of almost complete intersections. We also introduce a new class of ideals that extends the family of monomial complete intersections, and give a formula for their multiplicity, as well as a visual interpretation of this invariant.
description Fil: Alesandroni, Guillermo. Pontificia Universidad Católica Argentina. Facultad de Química e Ingeniería del Rosario; Argentina
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://repositorio.uca.edu.ar/handle/123456789/9747
0219-4988 (impreso)
1793-6829 (online)
10.1142/S0219498820501819
1901.03291
Alesandroni, G. Monomial multiplicities in explicit form [en línea]. Journal of Algebra and Its Applications. 2019. doi:10.1142/S0219498820501819 Disponible en: https://repositorio.uca.edu.ar/handle/123456789/9747
url https://repositorio.uca.edu.ar/handle/123456789/9747
identifier_str_mv 0219-4988 (impreso)
1793-6829 (online)
10.1142/S0219498820501819
1901.03291
Alesandroni, G. Monomial multiplicities in explicit form [en línea]. Journal of Algebra and Its Applications. 2019. doi:10.1142/S0219498820501819 Disponible en: https://repositorio.uca.edu.ar/handle/123456789/9747
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv World Scientific Publishing
publisher.none.fl_str_mv World Scientific Publishing
dc.source.none.fl_str_mv Journal of Algebra and Its Applications. 2019
reponame:Repositorio Institucional (UCA)
instname:Pontificia Universidad Católica Argentina
reponame_str Repositorio Institucional (UCA)
collection Repositorio Institucional (UCA)
instname_str Pontificia Universidad Católica Argentina
repository.name.fl_str_mv Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentina
repository.mail.fl_str_mv claudia_fernandez@uca.edu.ar
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score 12.982451

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