On the resolution of fan algebras of principal ideals over a Noetherian ring

Teresa Cortadellas Benítez; Carlos D'Andrea; Florian Enescu

doi:10.1016/j.jalgebra.2019.09.002

On the resolution of fan algebras of principal ideals over a Noetherian ring

Teresa Cortadellas Benítez
, Carlos D'Andrea
, Florian Enescu^*

^*Autor corresponent d’aquest treball

Producció científica: Article en revista indexada › Article › Avaluat per experts

Resum

We construct explicitly a resolution of a fan algebra of principal ideals over a Noetherian ring for the case when the fan is a proper rational cone in the plane. Under some mild conditions on the initial data, we show that this resolution is minimal.

Idioma original	Anglès
Pàgines (de-a)	61-97
Nombre de pàgines	37
Revista	Journal of Algebra
Volum	541
DOIs	https://doi.org/10.1016/j.jalgebra.2019.09.002
Estat de la publicació	Publicada - 1 de gen. 2020
Publicat externament	Sí

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title = "On the resolution of fan algebras of principal ideals over a Noetherian ring",

abstract = "We construct explicitly a resolution of a fan algebra of principal ideals over a Noetherian ring for the case when the fan is a proper rational cone in the plane. Under some mild conditions on the initial data, we show that this resolution is minimal.",

keywords = "Convex polyhedral cones, Fan algebra, Fan linear functions, Intersection algebra, Minimal resolutions",

author = "\{Cortadellas Ben{\'i}tez\}, Teresa and Carlos D'Andrea and Florian Enescu",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2020",

month = jan,

day = "1",

doi = "10.1016/j.jalgebra.2019.09.002",

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journal = "Journal of Algebra",

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AU - Cortadellas Benítez, Teresa

AU - D'Andrea, Carlos

AU - Enescu, Florian

PY - 2020/1/1

Y1 - 2020/1/1

N2 - We construct explicitly a resolution of a fan algebra of principal ideals over a Noetherian ring for the case when the fan is a proper rational cone in the plane. Under some mild conditions on the initial data, we show that this resolution is minimal.

AB - We construct explicitly a resolution of a fan algebra of principal ideals over a Noetherian ring for the case when the fan is a proper rational cone in the plane. Under some mild conditions on the initial data, we show that this resolution is minimal.

KW - Convex polyhedral cones

KW - Fan algebra

KW - Fan linear functions

KW - Intersection algebra

KW - Minimal resolutions

UR - https://www.scopus.com/pages/publications/85072844004

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JO - Journal of Algebra

JF - Journal of Algebra

ER -

On the resolution of fan algebras of principal ideals over a Noetherian ring

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