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/a de correspondencia de este trabajo

Producción científica: Artículo en revista indizada › Artículo › revisión exhaustiva

Resumen

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	Inglés
Páginas (desde-hasta)	61-97
Número de páginas	37
Publicación	Journal of Algebra
Volumen	541
DOI	https://doi.org/10.1016/j.jalgebra.2019.09.002
Estado	Publicada - 1 ene 2020
Publicado de forma externa	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",

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

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AU - Enescu, Florian

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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

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JO - Journal of Algebra

JF - Journal of Algebra

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

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