Monomial multiplicities in explicit form

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 introduc...

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Autor principal: Alesandroni, Guillermo
Formato: Artículo
Lenguaje:Inglés
Publicado: World Scientific Publishing 2020
Materias:
MONOMIOS
ALGEBRA
IDEALES
Acceso en línea:https://repositorio.uca.edu.ar/handle/123456789/9747
Aporte de:
Repositorio Institucional de la Universidad Católica Argentina (UCA) de Universidad Católica Argentina
id I33-R139123456789-9747
record_format dspace
institution Universidad Católica Argentina
institution_str I-33
repository_str R-139
collection Repositorio Institucional de la Universidad Católica Argentina (UCA)
language Inglés
topic MONOMIOS
ALGEBRA
IDEALES
spellingShingle MONOMIOS
ALGEBRA
IDEALES
Alesandroni, Guillermo
Monomial multiplicities in explicit form
topic_facet MONOMIOS
ALGEBRA
IDEALES
description 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.
format Artículo
author Alesandroni, Guillermo
author_facet Alesandroni, Guillermo
author_sort Alesandroni, Guillermo
title Monomial multiplicities in explicit form
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
publisher World Scientific Publishing
publishDate 2020
url https://repositorio.uca.edu.ar/handle/123456789/9747
work_keys_str_mv AT alesandroniguillermo monomialmultiplicitiesinexplicitform
bdutipo_str Repositorios
_version_ 1764820528548282371

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